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Finding the Third Proportional to 125,192 and 270,412

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Solution

The third proportional to 125,192 and 270,412 is: 584,084.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,192 : 270,412 = 270,412 : x
  2. Step 2: Convert to fraction form
    125,192/270,412 = 270,412/x
  3. Step 3: Cross multiply
    125,192x = 270,412 × 270,412
  4. Step 4: Simplify right side
    125,192x = 73,122,649,744
  5. Step 5: Solve for x
    x = 73,122,649,744/125,192
  6. Step 6: Final answer
    x = 584,084.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.