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Finding the Third Proportional to 108,375 and 143,839.50

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Solution

The third proportional to 108,375 and 143,839.50 is: 190,909.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,375 : 143,839.50 = 143,839.50 : x
  2. Step 2: Convert to fraction form
    108,375/143,839.50 = 143,839.50/x
  3. Step 3: Cross multiply
    108,375x = 143,839.50 × 143,839.50
  4. Step 4: Simplify right side
    108,375x = 20,689,801,760.25
  5. Step 5: Solve for x
    x = 20,689,801,760.25/108,375
  6. Step 6: Final answer
    x = 190,909.36

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.