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Finding the Third Proportional to 52,624 and 80,503

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Solution

The third proportional to 52,624 and 80,503 is: 123,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,624 : 80,503 = 80,503 : x
  2. Step 2: Convert to fraction form
    52,624/80,503 = 80,503/x
  3. Step 3: Cross multiply
    52,624x = 80,503 × 80,503
  4. Step 4: Simplify right side
    52,624x = 6,480,733,009
  5. Step 5: Solve for x
    x = 6,480,733,009/52,624
  6. Step 6: Final answer
    x = 123,151.66

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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.