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Finding the Third Proportional to 62,008 and 137,792

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Solution

The third proportional to 62,008 and 137,792 is: 306,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,008 : 137,792 = 137,792 : x
  2. Step 2: Convert to fraction form
    62,008/137,792 = 137,792/x
  3. Step 3: Cross multiply
    62,008x = 137,792 × 137,792
  4. Step 4: Simplify right side
    62,008x = 18,986,635,264
  5. Step 5: Solve for x
    x = 18,986,635,264/62,008
  6. Step 6: Final answer
    x = 306,196.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.