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Finding the Third Proportional to 55,545.75 and 89,451

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Solution

The third proportional to 55,545.75 and 89,451 is: 144,052.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,545.75 : 89,451 = 89,451 : x
  2. Step 2: Convert to fraction form
    55,545.75/89,451 = 89,451/x
  3. Step 3: Cross multiply
    55,545.75x = 89,451 × 89,451
  4. Step 4: Simplify right side
    55,545.75x = 8,001,481,401
  5. Step 5: Solve for x
    x = 8,001,481,401/55,545.75
  6. Step 6: Final answer
    x = 144,052.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.