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Finding the Third Proportional to 57,787 and 124,195

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Solution

The third proportional to 57,787 and 124,195 is: 266,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,787 : 124,195 = 124,195 : x
  2. Step 2: Convert to fraction form
    57,787/124,195 = 124,195/x
  3. Step 3: Cross multiply
    57,787x = 124,195 × 124,195
  4. Step 4: Simplify right side
    57,787x = 15,424,398,025
  5. Step 5: Solve for x
    x = 15,424,398,025/57,787
  6. Step 6: Final answer
    x = 266,918.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.