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Finding the Third Proportional to 136,098 and 279,108

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Solution

The third proportional to 136,098 and 279,108 is: 572,391.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,098 : 279,108 = 279,108 : x
  2. Step 2: Convert to fraction form
    136,098/279,108 = 279,108/x
  3. Step 3: Cross multiply
    136,098x = 279,108 × 279,108
  4. Step 4: Simplify right side
    136,098x = 77,901,275,664
  5. Step 5: Solve for x
    x = 77,901,275,664/136,098
  6. Step 6: Final answer
    x = 572,391.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.