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Finding the Third Proportional to 60,057 and 88,277

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Solution

The third proportional to 60,057 and 88,277 is: 129,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,057 : 88,277 = 88,277 : x
  2. Step 2: Convert to fraction form
    60,057/88,277 = 88,277/x
  3. Step 3: Cross multiply
    60,057x = 88,277 × 88,277
  4. Step 4: Simplify right side
    60,057x = 7,792,828,729
  5. Step 5: Solve for x
    x = 7,792,828,729/60,057
  6. Step 6: Final answer
    x = 129,757.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.