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Finding the Third Proportional to 71,305.75 and 152,734.25

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Solution

The third proportional to 71,305.75 and 152,734.25 is: 327,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,305.75 : 152,734.25 = 152,734.25 : x
  2. Step 2: Convert to fraction form
    71,305.75/152,734.25 = 152,734.25/x
  3. Step 3: Cross multiply
    71,305.75x = 152,734.25 × 152,734.25
  4. Step 4: Simplify right side
    71,305.75x = 23,327,751,123.06
  5. Step 5: Solve for x
    x = 23,327,751,123.06/71,305.75
  6. Step 6: Final answer
    x = 327,151.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.