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Finding the Third Proportional to 57,633 and 125,775

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Solution

The third proportional to 57,633 and 125,775 is: 274,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,633 : 125,775 = 125,775 : x
  2. Step 2: Convert to fraction form
    57,633/125,775 = 125,775/x
  3. Step 3: Cross multiply
    57,633x = 125,775 × 125,775
  4. Step 4: Simplify right side
    57,633x = 15,819,350,625
  5. Step 5: Solve for x
    x = 15,819,350,625/57,633
  6. Step 6: Final answer
    x = 274,484.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.