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Finding the Third Proportional to 126,192 and 269,229

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Solution

The third proportional to 126,192 and 269,229 is: 574,396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,192 : 269,229 = 269,229 : x
  2. Step 2: Convert to fraction form
    126,192/269,229 = 269,229/x
  3. Step 3: Cross multiply
    126,192x = 269,229 × 269,229
  4. Step 4: Simplify right side
    126,192x = 72,484,254,441
  5. Step 5: Solve for x
    x = 72,484,254,441/126,192
  6. Step 6: Final answer
    x = 574,396.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.