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Finding the Third Proportional to 57,154.50 and 127,422

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Solution

The third proportional to 57,154.50 and 127,422 is: 284,078.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,154.50 : 127,422 = 127,422 : x
  2. Step 2: Convert to fraction form
    57,154.50/127,422 = 127,422/x
  3. Step 3: Cross multiply
    57,154.50x = 127,422 × 127,422
  4. Step 4: Simplify right side
    57,154.50x = 16,236,366,084
  5. Step 5: Solve for x
    x = 16,236,366,084/57,154.50
  6. Step 6: Final answer
    x = 284,078.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.