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Finding the Third Proportional to 57,368 and 126,048

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Solution

The third proportional to 57,368 and 126,048 is: 276,950.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,368 : 126,048 = 126,048 : x
  2. Step 2: Convert to fraction form
    57,368/126,048 = 126,048/x
  3. Step 3: Cross multiply
    57,368x = 126,048 × 126,048
  4. Step 4: Simplify right side
    57,368x = 15,888,098,304
  5. Step 5: Solve for x
    x = 15,888,098,304/57,368
  6. Step 6: Final answer
    x = 276,950.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.