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Finding the Third Proportional to 125,640 and 273,474

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Solution

The third proportional to 125,640 and 273,474 is: 595,256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,640 : 273,474 = 273,474 : x
  2. Step 2: Convert to fraction form
    125,640/273,474 = 273,474/x
  3. Step 3: Cross multiply
    125,640x = 273,474 × 273,474
  4. Step 4: Simplify right side
    125,640x = 74,788,028,676
  5. Step 5: Solve for x
    x = 74,788,028,676/125,640
  6. Step 6: Final answer
    x = 595,256.52

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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.