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Finding the Third Proportional to 51,631.50 and 112,983

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Solution

The third proportional to 51,631.50 and 112,983 is: 247,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,631.50 : 112,983 = 112,983 : x
  2. Step 2: Convert to fraction form
    51,631.50/112,983 = 112,983/x
  3. Step 3: Cross multiply
    51,631.50x = 112,983 × 112,983
  4. Step 4: Simplify right side
    51,631.50x = 12,765,158,289
  5. Step 5: Solve for x
    x = 12,765,158,289/51,631.50
  6. Step 6: Final answer
    x = 247,235.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.