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Finding the Third Proportional to 125,340 and 270,060

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Solution

The third proportional to 125,340 and 270,060 is: 581,876.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,340 : 270,060 = 270,060 : x
  2. Step 2: Convert to fraction form
    125,340/270,060 = 270,060/x
  3. Step 3: Cross multiply
    125,340x = 270,060 × 270,060
  4. Step 4: Simplify right side
    125,340x = 72,932,403,600
  5. Step 5: Solve for x
    x = 72,932,403,600/125,340
  6. Step 6: Final answer
    x = 581,876.52

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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.