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Finding the Third Proportional to 52,655 and 80,549

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Solution

The third proportional to 52,655 and 80,549 is: 123,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,655 : 80,549 = 80,549 : x
  2. Step 2: Convert to fraction form
    52,655/80,549 = 80,549/x
  3. Step 3: Cross multiply
    52,655x = 80,549 × 80,549
  4. Step 4: Simplify right side
    52,655x = 6,488,141,401
  5. Step 5: Solve for x
    x = 6,488,141,401/52,655
  6. Step 6: Final answer
    x = 123,219.85

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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.