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Finding the Third Proportional to 100,449 and 136,422.56

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Solution

The third proportional to 100,449 and 136,422.56 is: 185,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,449 : 136,422.56 = 136,422.56 : x
  2. Step 2: Convert to fraction form
    100,449/136,422.56 = 136,422.56/x
  3. Step 3: Cross multiply
    100,449x = 136,422.56 × 136,422.56
  4. Step 4: Simplify right side
    100,449x = 18,611,115,559.07
  5. Step 5: Solve for x
    x = 18,611,115,559.07/100,449
  6. Step 6: Final answer
    x = 185,279.25

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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.