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Finding the Third Proportional to 100,344.75 and 137,599.13

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Solution

The third proportional to 100,344.75 and 137,599.13 is: 188,684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,344.75 : 137,599.13 = 137,599.13 : x
  2. Step 2: Convert to fraction form
    100,344.75/137,599.13 = 137,599.13/x
  3. Step 3: Cross multiply
    100,344.75x = 137,599.13 × 137,599.13
  4. Step 4: Simplify right side
    100,344.75x = 18,933,519,200.77
  5. Step 5: Solve for x
    x = 18,933,519,200.77/100,344.75
  6. Step 6: Final answer
    x = 188,684.70

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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.