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Finding the Third Proportional to 62,654.75 and 95,966.75

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Solution

The third proportional to 62,654.75 and 95,966.75 is: 146,989.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,654.75 : 95,966.75 = 95,966.75 : x
  2. Step 2: Convert to fraction form
    62,654.75/95,966.75 = 95,966.75/x
  3. Step 3: Cross multiply
    62,654.75x = 95,966.75 × 95,966.75
  4. Step 4: Simplify right side
    62,654.75x = 9,209,617,105.56
  5. Step 5: Solve for x
    x = 9,209,617,105.56/62,654.75
  6. Step 6: Final answer
    x = 146,989.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.