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Finding the Third Proportional to 57,357 and 123,939

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Solution

The third proportional to 57,357 and 123,939 is: 267,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,357 : 123,939 = 123,939 : x
  2. Step 2: Convert to fraction form
    57,357/123,939 = 123,939/x
  3. Step 3: Cross multiply
    57,357x = 123,939 × 123,939
  4. Step 4: Simplify right side
    57,357x = 15,360,875,721
  5. Step 5: Solve for x
    x = 15,360,875,721/57,357
  6. Step 6: Final answer
    x = 267,811.70

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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.