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Finding the Third Proportional to 62,654.25 and 95,966

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Solution

The third proportional to 62,654.25 and 95,966 is: 146,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,654.25 : 95,966 = 95,966 : x
  2. Step 2: Convert to fraction form
    62,654.25/95,966 = 95,966/x
  3. Step 3: Cross multiply
    62,654.25x = 95,966 × 95,966
  4. Step 4: Simplify right side
    62,654.25x = 9,209,473,156
  5. Step 5: Solve for x
    x = 9,209,473,156/62,654.25
  6. Step 6: Final answer
    x = 146,988.80

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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.