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Finding the Third Proportional to 71,305.13 and 151,356.75

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Solution

The third proportional to 71,305.13 and 151,356.75 is: 321,279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,305.13 : 151,356.75 = 151,356.75 : x
  2. Step 2: Convert to fraction form
    71,305.13/151,356.75 = 151,356.75/x
  3. Step 3: Cross multiply
    71,305.13x = 151,356.75 × 151,356.75
  4. Step 4: Simplify right side
    71,305.13x = 22,908,865,770.56
  5. Step 5: Solve for x
    x = 22,908,865,770.56/71,305.13
  6. Step 6: Final answer
    x = 321,279.37

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.