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Finding the Third Proportional to 52,716 and 82,098

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Solution

The third proportional to 52,716 and 82,098 is: 127,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,716 : 82,098 = 82,098 : x
  2. Step 2: Convert to fraction form
    52,716/82,098 = 82,098/x
  3. Step 3: Cross multiply
    52,716x = 82,098 × 82,098
  4. Step 4: Simplify right side
    52,716x = 6,740,081,604
  5. Step 5: Solve for x
    x = 6,740,081,604/52,716
  6. Step 6: Final answer
    x = 127,856.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.