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Finding the Third Proportional to 83,281 and 126,995

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Solution

The third proportional to 83,281 and 126,995 is: 193,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,281 : 126,995 = 126,995 : x
  2. Step 2: Convert to fraction form
    83,281/126,995 = 126,995/x
  3. Step 3: Cross multiply
    83,281x = 126,995 × 126,995
  4. Step 4: Simplify right side
    83,281x = 16,127,730,025
  5. Step 5: Solve for x
    x = 16,127,730,025/83,281
  6. Step 6: Final answer
    x = 193,654.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.