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Finding the Third Proportional to 49,486 and 76,451

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Solution

The third proportional to 49,486 and 76,451 is: 118,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,486 : 76,451 = 76,451 : x
  2. Step 2: Convert to fraction form
    49,486/76,451 = 76,451/x
  3. Step 3: Cross multiply
    49,486x = 76,451 × 76,451
  4. Step 4: Simplify right side
    49,486x = 5,844,755,401
  5. Step 5: Solve for x
    x = 5,844,755,401/49,486
  6. Step 6: Final answer
    x = 118,109.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.