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Finding the Third Proportional to 48,636 and 75,147

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Solution

The third proportional to 48,636 and 75,147 is: 116,108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,636 : 75,147 = 75,147 : x
  2. Step 2: Convert to fraction form
    48,636/75,147 = 75,147/x
  3. Step 3: Cross multiply
    48,636x = 75,147 × 75,147
  4. Step 4: Simplify right side
    48,636x = 5,647,071,609
  5. Step 5: Solve for x
    x = 5,647,071,609/48,636
  6. Step 6: Final answer
    x = 116,108.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.