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Finding the Third Proportional to 80,610 and 127,099

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Solution

The third proportional to 80,610 and 127,099 is: 200,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,610 : 127,099 = 127,099 : x
  2. Step 2: Convert to fraction form
    80,610/127,099 = 127,099/x
  3. Step 3: Cross multiply
    80,610x = 127,099 × 127,099
  4. Step 4: Simplify right side
    80,610x = 16,154,155,801
  5. Step 5: Solve for x
    x = 16,154,155,801/80,610
  6. Step 6: Final answer
    x = 200,398.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.