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Finding the Third Proportional to 83,242.69 and 135,244.69

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Solution

The third proportional to 83,242.69 and 135,244.69 is: 219,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,242.69 : 135,244.69 = 135,244.69 : x
  2. Step 2: Convert to fraction form
    83,242.69/135,244.69 = 135,244.69/x
  3. Step 3: Cross multiply
    83,242.69x = 135,244.69 × 135,244.69
  4. Step 4: Simplify right side
    83,242.69x = 18,291,125,496.97
  5. Step 5: Solve for x
    x = 18,291,125,496.97/83,242.69
  6. Step 6: Final answer
    x = 219,732.52

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.