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Finding the Third Proportional to 57,730 and 125,910

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Solution

The third proportional to 57,730 and 125,910 is: 274,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,730 : 125,910 = 125,910 : x
  2. Step 2: Convert to fraction form
    57,730/125,910 = 125,910/x
  3. Step 3: Cross multiply
    57,730x = 125,910 × 125,910
  4. Step 4: Simplify right side
    57,730x = 15,853,328,100
  5. Step 5: Solve for x
    x = 15,853,328,100/57,730
  6. Step 6: Final answer
    x = 274,611.61

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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.