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Finding the Third Proportional to 83,707.31 and 126,316.13

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Solution

The third proportional to 83,707.31 and 126,316.13 is: 190,613.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,707.31 : 126,316.13 = 126,316.13 : x
  2. Step 2: Convert to fraction form
    83,707.31/126,316.13 = 126,316.13/x
  3. Step 3: Cross multiply
    83,707.31x = 126,316.13 × 126,316.13
  4. Step 4: Simplify right side
    83,707.31x = 15,955,763,435.02
  5. Step 5: Solve for x
    x = 15,955,763,435.02/83,707.31
  6. Step 6: Final answer
    x = 190,613.73

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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.