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Finding the Third Proportional to 57,366 and 124,265

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Solution

The third proportional to 57,366 and 124,265 is: 269,180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,366 : 124,265 = 124,265 : x
  2. Step 2: Convert to fraction form
    57,366/124,265 = 124,265/x
  3. Step 3: Cross multiply
    57,366x = 124,265 × 124,265
  4. Step 4: Simplify right side
    57,366x = 15,441,790,225
  5. Step 5: Solve for x
    x = 15,441,790,225/57,366
  6. Step 6: Final answer
    x = 269,180.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.