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Finding the Third Proportional to 60,289 and 88,691

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Solution

The third proportional to 60,289 and 88,691 is: 130,473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,289 : 88,691 = 88,691 : x
  2. Step 2: Convert to fraction form
    60,289/88,691 = 88,691/x
  3. Step 3: Cross multiply
    60,289x = 88,691 × 88,691
  4. Step 4: Simplify right side
    60,289x = 7,866,093,481
  5. Step 5: Solve for x
    x = 7,866,093,481/60,289
  6. Step 6: Final answer
    x = 130,473.11

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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.