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Finding the Third Proportional to 83,354.06 and 127,073.81

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Solution

The third proportional to 83,354.06 and 127,073.81 is: 193,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,354.06 : 127,073.81 = 127,073.81 : x
  2. Step 2: Convert to fraction form
    83,354.06/127,073.81 = 127,073.81/x
  3. Step 3: Cross multiply
    83,354.06x = 127,073.81 × 127,073.81
  4. Step 4: Simplify right side
    83,354.06x = 16,147,753,823.29
  5. Step 5: Solve for x
    x = 16,147,753,823.29/83,354.06
  6. Step 6: Final answer
    x = 193,724.86

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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.