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Finding the Third Proportional to 82,864.69 and 127,531.97

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Solution

The third proportional to 82,864.69 and 127,531.97 is: 196,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,864.69 : 127,531.97 = 127,531.97 : x
  2. Step 2: Convert to fraction form
    82,864.69/127,531.97 = 127,531.97/x
  3. Step 3: Cross multiply
    82,864.69x = 127,531.97 × 127,531.97
  4. Step 4: Simplify right side
    82,864.69x = 16,264,403,053.25
  5. Step 5: Solve for x
    x = 16,264,403,053.25/82,864.69
  6. Step 6: Final answer
    x = 196,276.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.