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Finding the Third Proportional to 136,192.50 and 225,078.75

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Solution

The third proportional to 136,192.50 and 225,078.75 is: 371,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,192.50 : 225,078.75 = 225,078.75 : x
  2. Step 2: Convert to fraction form
    136,192.50/225,078.75 = 225,078.75/x
  3. Step 3: Cross multiply
    136,192.50x = 225,078.75 × 225,078.75
  4. Step 4: Simplify right side
    136,192.50x = 50,660,443,701.56
  5. Step 5: Solve for x
    x = 50,660,443,701.56/136,192.50
  6. Step 6: Final answer
    x = 371,976.75

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.