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Finding the Third Proportional to 55,114 and 82,549

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Solution

The third proportional to 55,114 and 82,549 is: 123,640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,114 : 82,549 = 82,549 : x
  2. Step 2: Convert to fraction form
    55,114/82,549 = 82,549/x
  3. Step 3: Cross multiply
    55,114x = 82,549 × 82,549
  4. Step 4: Simplify right side
    55,114x = 6,814,337,401
  5. Step 5: Solve for x
    x = 6,814,337,401/55,114
  6. Step 6: Final answer
    x = 123,640.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.