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Finding the Third Proportional to 60,098 and 87,045

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Solution

The third proportional to 60,098 and 87,045 is: 126,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,098 : 87,045 = 87,045 : x
  2. Step 2: Convert to fraction form
    60,098/87,045 = 87,045/x
  3. Step 3: Cross multiply
    60,098x = 87,045 × 87,045
  4. Step 4: Simplify right side
    60,098x = 7,576,832,025
  5. Step 5: Solve for x
    x = 7,576,832,025/60,098
  6. Step 6: Final answer
    x = 126,074.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.