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Finding the Third Proportional to 48,614 and 76,161

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Solution

The third proportional to 48,614 and 76,161 is: 119,317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,614 : 76,161 = 76,161 : x
  2. Step 2: Convert to fraction form
    48,614/76,161 = 76,161/x
  3. Step 3: Cross multiply
    48,614x = 76,161 × 76,161
  4. Step 4: Simplify right side
    48,614x = 5,800,497,921
  5. Step 5: Solve for x
    x = 5,800,497,921/48,614
  6. Step 6: Final answer
    x = 119,317.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.