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Finding the Third Proportional to 113,571.56 and 166,226.06

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Solution

The third proportional to 113,571.56 and 166,226.06 is: 243,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,571.56 : 166,226.06 = 166,226.06 : x
  2. Step 2: Convert to fraction form
    113,571.56/166,226.06 = 166,226.06/x
  3. Step 3: Cross multiply
    113,571.56x = 166,226.06 × 166,226.06
  4. Step 4: Simplify right side
    113,571.56x = 27,631,103,854.25
  5. Step 5: Solve for x
    x = 27,631,103,854.25/113,571.56
  6. Step 6: Final answer
    x = 243,292.45

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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.