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Finding the Third Proportional to 57,658 and 125,750

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Solution

The third proportional to 57,658 and 125,750 is: 274,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,658 : 125,750 = 125,750 : x
  2. Step 2: Convert to fraction form
    57,658/125,750 = 125,750/x
  3. Step 3: Cross multiply
    57,658x = 125,750 × 125,750
  4. Step 4: Simplify right side
    57,658x = 15,813,062,500
  5. Step 5: Solve for x
    x = 15,813,062,500/57,658
  6. Step 6: Final answer
    x = 274,256.17

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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.