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Finding the Third Proportional to 57,514.13 and 125,485.13

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Solution

The third proportional to 57,514.13 and 125,485.13 is: 273,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,514.13 : 125,485.13 = 125,485.13 : x
  2. Step 2: Convert to fraction form
    57,514.13/125,485.13 = 125,485.13/x
  3. Step 3: Cross multiply
    57,514.13x = 125,485.13 × 125,485.13
  4. Step 4: Simplify right side
    57,514.13x = 15,746,516,596.27
  5. Step 5: Solve for x
    x = 15,746,516,596.27/57,514.13
  6. Step 6: Final answer
    x = 273,785.21

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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.