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Finding the Third Proportional to 72,144.84 and 111,042.56

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Solution

The third proportional to 72,144.84 and 111,042.56 is: 170,912.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,144.84 : 111,042.56 = 111,042.56 : x
  2. Step 2: Convert to fraction form
    72,144.84/111,042.56 = 111,042.56/x
  3. Step 3: Cross multiply
    72,144.84x = 111,042.56 × 111,042.56
  4. Step 4: Simplify right side
    72,144.84x = 12,330,450,686.57
  5. Step 5: Solve for x
    x = 12,330,450,686.57/72,144.84
  6. Step 6: Final answer
    x = 170,912.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.