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Finding the Third Proportional to 127,148 and 279,192

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Solution

The third proportional to 127,148 and 279,192 is: 613,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,148 : 279,192 = 279,192 : x
  2. Step 2: Convert to fraction form
    127,148/279,192 = 279,192/x
  3. Step 3: Cross multiply
    127,148x = 279,192 × 279,192
  4. Step 4: Simplify right side
    127,148x = 77,948,172,864
  5. Step 5: Solve for x
    x = 77,948,172,864/127,148
  6. Step 6: Final answer
    x = 613,050.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.