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Finding the Third Proportional to 127,098 and 276,801

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Solution

The third proportional to 127,098 and 276,801 is: 602,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,098 : 276,801 = 276,801 : x
  2. Step 2: Convert to fraction form
    127,098/276,801 = 276,801/x
  3. Step 3: Cross multiply
    127,098x = 276,801 × 276,801
  4. Step 4: Simplify right side
    127,098x = 76,618,793,601
  5. Step 5: Solve for x
    x = 76,618,793,601/127,098
  6. Step 6: Final answer
    x = 602,832.41

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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.