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Finding the Third Proportional to 71,720 and 95,793

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Solution

The third proportional to 71,720 and 95,793 is: 127,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,720 : 95,793 = 95,793 : x
  2. Step 2: Convert to fraction form
    71,720/95,793 = 95,793/x
  3. Step 3: Cross multiply
    71,720x = 95,793 × 95,793
  4. Step 4: Simplify right side
    71,720x = 9,176,298,849
  5. Step 5: Solve for x
    x = 9,176,298,849/71,720
  6. Step 6: Final answer
    x = 127,946.16

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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.