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Finding the Third Proportional to 51,441.33 and 112,309.03

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Solution

The third proportional to 51,441.33 and 112,309.03 is: 245,198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,441.33 : 112,309.03 = 112,309.03 : x
  2. Step 2: Convert to fraction form
    51,441.33/112,309.03 = 112,309.03/x
  3. Step 3: Cross multiply
    51,441.33x = 112,309.03 × 112,309.03
  4. Step 4: Simplify right side
    51,441.33x = 12,613,318,500.31
  5. Step 5: Solve for x
    x = 12,613,318,500.31/51,441.33
  6. Step 6: Final answer
    x = 245,198.15

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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.