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Finding the Third Proportional to 100,747.13 and 136,906.88

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Solution

The third proportional to 100,747.13 and 136,906.88 is: 186,044.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,747.13 : 136,906.88 = 136,906.88 : x
  2. Step 2: Convert to fraction form
    100,747.13/136,906.88 = 136,906.88/x
  3. Step 3: Cross multiply
    100,747.13x = 136,906.88 × 136,906.88
  4. Step 4: Simplify right side
    100,747.13x = 18,743,492,422.27
  5. Step 5: Solve for x
    x = 18,743,492,422.27/100,747.13
  6. Step 6: Final answer
    x = 186,044.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.