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Finding the Third Proportional to 107,131 and 235,279

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Solution

The third proportional to 107,131 and 235,279 is: 516,715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,131 : 235,279 = 235,279 : x
  2. Step 2: Convert to fraction form
    107,131/235,279 = 235,279/x
  3. Step 3: Cross multiply
    107,131x = 235,279 × 235,279
  4. Step 4: Simplify right side
    107,131x = 55,356,207,841
  5. Step 5: Solve for x
    x = 55,356,207,841/107,131
  6. Step 6: Final answer
    x = 516,715.12

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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.