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Finding the Third Proportional to 57,384.07 and 124,932.38

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Solution

The third proportional to 57,384.07 and 124,932.38 is: 271,993.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,384.07 : 124,932.38 = 124,932.38 : x
  2. Step 2: Convert to fraction form
    57,384.07/124,932.38 = 124,932.38/x
  3. Step 3: Cross multiply
    57,384.07x = 124,932.38 × 124,932.38
  4. Step 4: Simplify right side
    57,384.07x = 15,608,098,323.14
  5. Step 5: Solve for x
    x = 15,608,098,323.14/57,384.07
  6. Step 6: Final answer
    x = 271,993.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.