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Finding the Third Proportional to 75,220.31 and 156,741.75

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Solution

The third proportional to 75,220.31 and 156,741.75 is: 326,613.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,220.31 : 156,741.75 = 156,741.75 : x
  2. Step 2: Convert to fraction form
    75,220.31/156,741.75 = 156,741.75/x
  3. Step 3: Cross multiply
    75,220.31x = 156,741.75 × 156,741.75
  4. Step 4: Simplify right side
    75,220.31x = 24,567,976,193.06
  5. Step 5: Solve for x
    x = 24,567,976,193.06/75,220.31
  6. Step 6: Final answer
    x = 326,613.59

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.