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Finding the Third Proportional to 57,511.27 and 125,479.13

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Solution

The third proportional to 57,511.27 and 125,479.13 is: 273,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,511.27 : 125,479.13 = 125,479.13 : x
  2. Step 2: Convert to fraction form
    57,511.27/125,479.13 = 125,479.13/x
  3. Step 3: Cross multiply
    57,511.27x = 125,479.13 × 125,479.13
  4. Step 4: Simplify right side
    57,511.27x = 15,745,010,810.77
  5. Step 5: Solve for x
    x = 15,745,010,810.77/57,511.27
  6. Step 6: Final answer
    x = 273,772.64

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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.