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Finding the Third Proportional to 59,633 and 126,163

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Solution

The third proportional to 59,633 and 126,163 is: 266,917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,633 : 126,163 = 126,163 : x
  2. Step 2: Convert to fraction form
    59,633/126,163 = 126,163/x
  3. Step 3: Cross multiply
    59,633x = 126,163 × 126,163
  4. Step 4: Simplify right side
    59,633x = 15,917,102,569
  5. Step 5: Solve for x
    x = 15,917,102,569/59,633
  6. Step 6: Final answer
    x = 266,917.69

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.