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Finding the Third Proportional to 100,449 and 137,736

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Solution

The third proportional to 100,449 and 137,736 is: 188,864.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,449 : 137,736 = 137,736 : x
  2. Step 2: Convert to fraction form
    100,449/137,736 = 137,736/x
  3. Step 3: Cross multiply
    100,449x = 137,736 × 137,736
  4. Step 4: Simplify right side
    100,449x = 18,971,205,696
  5. Step 5: Solve for x
    x = 18,971,205,696/100,449
  6. Step 6: Final answer
    x = 188,864.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.