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Finding the Third Proportional to 113,670.84 and 158,049.56

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Solution

The third proportional to 113,670.84 and 158,049.56 is: 219,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,670.84 : 158,049.56 = 158,049.56 : x
  2. Step 2: Convert to fraction form
    113,670.84/158,049.56 = 158,049.56/x
  3. Step 3: Cross multiply
    113,670.84x = 158,049.56 × 158,049.56
  4. Step 4: Simplify right side
    113,670.84x = 24,979,664,206.44
  5. Step 5: Solve for x
    x = 24,979,664,206.44/113,670.84
  6. Step 6: Final answer
    x = 219,754.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.