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Finding the Third Proportional to 72,612.25 and 159,198.50

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Solution

The third proportional to 72,612.25 and 159,198.50 is: 349,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,612.25 : 159,198.50 = 159,198.50 : x
  2. Step 2: Convert to fraction form
    72,612.25/159,198.50 = 159,198.50/x
  3. Step 3: Cross multiply
    72,612.25x = 159,198.50 × 159,198.50
  4. Step 4: Simplify right side
    72,612.25x = 25,344,162,402.25
  5. Step 5: Solve for x
    x = 25,344,162,402.25/72,612.25
  6. Step 6: Final answer
    x = 349,034.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.