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Finding the Third Proportional to 71,726 and 95,802

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Solution

The third proportional to 71,726 and 95,802 is: 127,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,726 : 95,802 = 95,802 : x
  2. Step 2: Convert to fraction form
    71,726/95,802 = 95,802/x
  3. Step 3: Cross multiply
    71,726x = 95,802 × 95,802
  4. Step 4: Simplify right side
    71,726x = 9,178,023,204
  5. Step 5: Solve for x
    x = 9,178,023,204/71,726
  6. Step 6: Final answer
    x = 127,959.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.