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Finding the Third Proportional to 52,850 and 81,797

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Solution

The third proportional to 52,850 and 81,797 is: 126,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,850 : 81,797 = 81,797 : x
  2. Step 2: Convert to fraction form
    52,850/81,797 = 81,797/x
  3. Step 3: Cross multiply
    52,850x = 81,797 × 81,797
  4. Step 4: Simplify right side
    52,850x = 6,690,749,209
  5. Step 5: Solve for x
    x = 6,690,749,209/52,850
  6. Step 6: Final answer
    x = 126,598.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.