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Finding the Third Proportional to 57,674 and 124,288

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Solution

The third proportional to 57,674 and 124,288 is: 267,841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,674 : 124,288 = 124,288 : x
  2. Step 2: Convert to fraction form
    57,674/124,288 = 124,288/x
  3. Step 3: Cross multiply
    57,674x = 124,288 × 124,288
  4. Step 4: Simplify right side
    57,674x = 15,447,506,944
  5. Step 5: Solve for x
    x = 15,447,506,944/57,674
  6. Step 6: Final answer
    x = 267,841.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.