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Finding the Third Proportional to 86,166.28 and 126,352.41

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Solution

The third proportional to 86,166.28 and 126,352.41 is: 185,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,166.28 : 126,352.41 = 126,352.41 : x
  2. Step 2: Convert to fraction form
    86,166.28/126,352.41 = 126,352.41/x
  3. Step 3: Cross multiply
    86,166.28x = 126,352.41 × 126,352.41
  4. Step 4: Simplify right side
    86,166.28x = 15,964,930,565.17
  5. Step 5: Solve for x
    x = 15,964,930,565.17/86,166.28
  6. Step 6: Final answer
    x = 185,280.49

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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.