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Finding the Third Proportional to 52,234 and 76,163

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Solution

The third proportional to 52,234 and 76,163 is: 111,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,234 : 76,163 = 76,163 : x
  2. Step 2: Convert to fraction form
    52,234/76,163 = 76,163/x
  3. Step 3: Cross multiply
    52,234x = 76,163 × 76,163
  4. Step 4: Simplify right side
    52,234x = 5,800,802,569
  5. Step 5: Solve for x
    x = 5,800,802,569/52,234
  6. Step 6: Final answer
    x = 111,054.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.