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Finding the Third Proportional to 84,902.63 and 126,217.13

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Solution

The third proportional to 84,902.63 and 126,217.13 is: 187,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,902.63 : 126,217.13 = 126,217.13 : x
  2. Step 2: Convert to fraction form
    84,902.63/126,217.13 = 126,217.13/x
  3. Step 3: Cross multiply
    84,902.63x = 126,217.13 × 126,217.13
  4. Step 4: Simplify right side
    84,902.63x = 15,930,762,643.27
  5. Step 5: Solve for x
    x = 15,930,762,643.27/84,902.63
  6. Step 6: Final answer
    x = 187,635.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.