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Finding the Third Proportional to 72,549 and 158,049.56

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Solution

The third proportional to 72,549 and 158,049.56 is: 344,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,549 : 158,049.56 = 158,049.56 : x
  2. Step 2: Convert to fraction form
    72,549/158,049.56 = 158,049.56/x
  3. Step 3: Cross multiply
    72,549x = 158,049.56 × 158,049.56
  4. Step 4: Simplify right side
    72,549x = 24,979,664,206.44
  5. Step 5: Solve for x
    x = 24,979,664,206.44/72,549
  6. Step 6: Final answer
    x = 344,314.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.