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Finding the Third Proportional to 51,633 and 112,986

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Solution

The third proportional to 51,633 and 112,986 is: 247,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,633 : 112,986 = 112,986 : x
  2. Step 2: Convert to fraction form
    51,633/112,986 = 112,986/x
  3. Step 3: Cross multiply
    51,633x = 112,986 × 112,986
  4. Step 4: Simplify right side
    51,633x = 12,765,836,196
  5. Step 5: Solve for x
    x = 12,765,836,196/51,633
  6. Step 6: Final answer
    x = 247,241.81

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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.