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Finding the Third Proportional to 113,853.75 and 166,406.25

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Solution

The third proportional to 113,853.75 and 166,406.25 is: 243,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,853.75 : 166,406.25 = 166,406.25 : x
  2. Step 2: Convert to fraction form
    113,853.75/166,406.25 = 166,406.25/x
  3. Step 3: Cross multiply
    113,853.75x = 166,406.25 × 166,406.25
  4. Step 4: Simplify right side
    113,853.75x = 27,691,040,039.06
  5. Step 5: Solve for x
    x = 27,691,040,039.06/113,853.75
  6. Step 6: Final answer
    x = 243,215.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.