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Finding the Third Proportional to 34,003.13 and 73,269.56

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Solution

The third proportional to 34,003.13 and 73,269.56 is: 157,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,003.13 : 73,269.56 = 73,269.56 : x
  2. Step 2: Convert to fraction form
    34,003.13/73,269.56 = 73,269.56/x
  3. Step 3: Cross multiply
    34,003.13x = 73,269.56 × 73,269.56
  4. Step 4: Simplify right side
    34,003.13x = 5,368,428,788.94
  5. Step 5: Solve for x
    x = 5,368,428,788.94/34,003.13
  6. Step 6: Final answer
    x = 157,880.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.