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Finding the Third Proportional to 55,853 and 120,451

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Solution

The third proportional to 55,853 and 120,451 is: 259,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,853 : 120,451 = 120,451 : x
  2. Step 2: Convert to fraction form
    55,853/120,451 = 120,451/x
  3. Step 3: Cross multiply
    55,853x = 120,451 × 120,451
  4. Step 4: Simplify right side
    55,853x = 14,508,443,401
  5. Step 5: Solve for x
    x = 14,508,443,401/55,853
  6. Step 6: Final answer
    x = 259,761.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.