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Finding the Third Proportional to 55,493 and 85,671

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Solution

The third proportional to 55,493 and 85,671 is: 132,260.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,493 : 85,671 = 85,671 : x
  2. Step 2: Convert to fraction form
    55,493/85,671 = 85,671/x
  3. Step 3: Cross multiply
    55,493x = 85,671 × 85,671
  4. Step 4: Simplify right side
    55,493x = 7,339,520,241
  5. Step 5: Solve for x
    x = 7,339,520,241/55,493
  6. Step 6: Final answer
    x = 132,260.29

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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.