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Finding the Third Proportional to 57,475.83 and 125,296.17

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Solution

The third proportional to 57,475.83 and 125,296.17 is: 273,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,475.83 : 125,296.17 = 125,296.17 : x
  2. Step 2: Convert to fraction form
    57,475.83/125,296.17 = 125,296.17/x
  3. Step 3: Cross multiply
    57,475.83x = 125,296.17 × 125,296.17
  4. Step 4: Simplify right side
    57,475.83x = 15,699,130,686.53
  5. Step 5: Solve for x
    x = 15,699,130,686.53/57,475.83
  6. Step 6: Final answer
    x = 273,143.18

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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.