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Finding the Third Proportional to 57,472 and 125,290

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Solution

The third proportional to 57,472 and 125,290 is: 273,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,472 : 125,290 = 125,290 : x
  2. Step 2: Convert to fraction form
    57,472/125,290 = 125,290/x
  3. Step 3: Cross multiply
    57,472x = 125,290 × 125,290
  4. Step 4: Simplify right side
    57,472x = 15,697,584,100
  5. Step 5: Solve for x
    x = 15,697,584,100/57,472
  6. Step 6: Final answer
    x = 273,134.47

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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.