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Finding the Third Proportional to 57,674 and 125,140

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Solution

The third proportional to 57,674 and 125,140 is: 271,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,674 : 125,140 = 125,140 : x
  2. Step 2: Convert to fraction form
    57,674/125,140 = 125,140/x
  3. Step 3: Cross multiply
    57,674x = 125,140 × 125,140
  4. Step 4: Simplify right side
    57,674x = 15,660,019,600
  5. Step 5: Solve for x
    x = 15,660,019,600/57,674
  6. Step 6: Final answer
    x = 271,526.50

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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.