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Finding the Third Proportional to 47,158.50 and 112,616.25

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Solution

The third proportional to 47,158.50 and 112,616.25 is: 268,931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,158.50 : 112,616.25 = 112,616.25 : x
  2. Step 2: Convert to fraction form
    47,158.50/112,616.25 = 112,616.25/x
  3. Step 3: Cross multiply
    47,158.50x = 112,616.25 × 112,616.25
  4. Step 4: Simplify right side
    47,158.50x = 12,682,419,764.06
  5. Step 5: Solve for x
    x = 12,682,419,764.06/47,158.50
  6. Step 6: Final answer
    x = 268,931.79

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.