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Finding the Third Proportional to 49,451 and 76,549

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Solution

The third proportional to 49,451 and 76,549 is: 118,496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,451 : 76,549 = 76,549 : x
  2. Step 2: Convert to fraction form
    49,451/76,549 = 76,549/x
  3. Step 3: Cross multiply
    49,451x = 76,549 × 76,549
  4. Step 4: Simplify right side
    49,451x = 5,859,749,401
  5. Step 5: Solve for x
    x = 5,859,749,401/49,451
  6. Step 6: Final answer
    x = 118,496.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.