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Finding the Third Proportional to 83,524.61 and 126,171.11

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Solution

The third proportional to 83,524.61 and 126,171.11 is: 190,592.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,524.61 : 126,171.11 = 126,171.11 : x
  2. Step 2: Convert to fraction form
    83,524.61/126,171.11 = 126,171.11/x
  3. Step 3: Cross multiply
    83,524.61x = 126,171.11 × 126,171.11
  4. Step 4: Simplify right side
    83,524.61x = 15,919,147,855.21
  5. Step 5: Solve for x
    x = 15,919,147,855.21/83,524.61
  6. Step 6: Final answer
    x = 190,592.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.