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Finding the Third Proportional to 113,814.56 and 171,015.75

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Solution

The third proportional to 113,814.56 and 171,015.75 is: 256,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,814.56 : 171,015.75 = 171,015.75 : x
  2. Step 2: Convert to fraction form
    113,814.56/171,015.75 = 171,015.75/x
  3. Step 3: Cross multiply
    113,814.56x = 171,015.75 × 171,015.75
  4. Step 4: Simplify right side
    113,814.56x = 29,246,386,748.06
  5. Step 5: Solve for x
    x = 29,246,386,748.06/113,814.56
  6. Step 6: Final answer
    x = 256,965.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.