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Finding the Third Proportional to 71,724 and 95,799

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Solution

The third proportional to 71,724 and 95,799 is: 127,955.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724 : 95,799 = 95,799 : x
  2. Step 2: Convert to fraction form
    71,724/95,799 = 95,799/x
  3. Step 3: Cross multiply
    71,724x = 95,799 × 95,799
  4. Step 4: Simplify right side
    71,724x = 9,177,448,401
  5. Step 5: Solve for x
    x = 9,177,448,401/71,724
  6. Step 6: Final answer
    x = 127,955.06

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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.