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Finding the Third Proportional to 57,691 and 125,224

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Solution

The third proportional to 57,691 and 125,224 is: 271,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,691 : 125,224 = 125,224 : x
  2. Step 2: Convert to fraction form
    57,691/125,224 = 125,224/x
  3. Step 3: Cross multiply
    57,691x = 125,224 × 125,224
  4. Step 4: Simplify right side
    57,691x = 15,681,050,176
  5. Step 5: Solve for x
    x = 15,681,050,176/57,691
  6. Step 6: Final answer
    x = 271,811.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.