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Finding the Third Proportional to 60,521 and 131,554

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Solution

The third proportional to 60,521 and 131,554 is: 285,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,521 : 131,554 = 131,554 : x
  2. Step 2: Convert to fraction form
    60,521/131,554 = 131,554/x
  3. Step 3: Cross multiply
    60,521x = 131,554 × 131,554
  4. Step 4: Simplify right side
    60,521x = 17,306,454,916
  5. Step 5: Solve for x
    x = 17,306,454,916/60,521
  6. Step 6: Final answer
    x = 285,957.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.