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Finding the Third Proportional to 55,612 and 83,491

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Solution

The third proportional to 55,612 and 83,491 is: 125,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,612 : 83,491 = 83,491 : x
  2. Step 2: Convert to fraction form
    55,612/83,491 = 83,491/x
  3. Step 3: Cross multiply
    55,612x = 83,491 × 83,491
  4. Step 4: Simplify right side
    55,612x = 6,970,747,081
  5. Step 5: Solve for x
    x = 6,970,747,081/55,612
  6. Step 6: Final answer
    x = 125,346.10

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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.