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Finding the Third Proportional to 52,750 and 80,693

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Solution

The third proportional to 52,750 and 80,693 is: 123,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,750 : 80,693 = 80,693 : x
  2. Step 2: Convert to fraction form
    52,750/80,693 = 80,693/x
  3. Step 3: Cross multiply
    52,750x = 80,693 × 80,693
  4. Step 4: Simplify right side
    52,750x = 6,511,360,249
  5. Step 5: Solve for x
    x = 6,511,360,249/52,750
  6. Step 6: Final answer
    x = 123,438.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.