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Finding the Third Proportional to 59,942 and 131,548

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Solution

The third proportional to 59,942 and 131,548 is: 288,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,942 : 131,548 = 131,548 : x
  2. Step 2: Convert to fraction form
    59,942/131,548 = 131,548/x
  3. Step 3: Cross multiply
    59,942x = 131,548 × 131,548
  4. Step 4: Simplify right side
    59,942x = 17,304,876,304
  5. Step 5: Solve for x
    x = 17,304,876,304/59,942
  6. Step 6: Final answer
    x = 288,693.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.