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Finding the Third Proportional to 42,527 and 60,874

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Solution

The third proportional to 42,527 and 60,874 is: 87,136.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,527 : 60,874 = 60,874 : x
  2. Step 2: Convert to fraction form
    42,527/60,874 = 60,874/x
  3. Step 3: Cross multiply
    42,527x = 60,874 × 60,874
  4. Step 4: Simplify right side
    42,527x = 3,705,643,876
  5. Step 5: Solve for x
    x = 3,705,643,876/42,527
  6. Step 6: Final answer
    x = 87,136.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.