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Finding the Third Proportional to 52,841 and 82,497

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Solution

The third proportional to 52,841 and 82,497 is: 128,796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,841 : 82,497 = 82,497 : x
  2. Step 2: Convert to fraction form
    52,841/82,497 = 82,497/x
  3. Step 3: Cross multiply
    52,841x = 82,497 × 82,497
  4. Step 4: Simplify right side
    52,841x = 6,805,755,009
  5. Step 5: Solve for x
    x = 6,805,755,009/52,841
  6. Step 6: Final answer
    x = 128,796.86

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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.