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Finding the Third Proportional to 96,531.75 and 143,380.13

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Solution

The third proportional to 96,531.75 and 143,380.13 is: 212,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,531.75 : 143,380.13 = 143,380.13 : x
  2. Step 2: Convert to fraction form
    96,531.75/143,380.13 = 143,380.13/x
  3. Step 3: Cross multiply
    96,531.75x = 143,380.13 × 143,380.13
  4. Step 4: Simplify right side
    96,531.75x = 20,557,860,245.02
  5. Step 5: Solve for x
    x = 20,557,860,245.02/96,531.75
  6. Step 6: Final answer
    x = 212,964.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.