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Finding the Third Proportional to 34,526.25 and 73,968.75

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Solution

The third proportional to 34,526.25 and 73,968.75 is: 158,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,526.25 : 73,968.75 = 73,968.75 : x
  2. Step 2: Convert to fraction form
    34,526.25/73,968.75 = 73,968.75/x
  3. Step 3: Cross multiply
    34,526.25x = 73,968.75 × 73,968.75
  4. Step 4: Simplify right side
    34,526.25x = 5,471,375,976.56
  5. Step 5: Solve for x
    x = 5,471,375,976.56/34,526.25
  6. Step 6: Final answer
    x = 158,470.03

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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.