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Finding the Third Proportional to 36,832 and 79,113

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Solution

The third proportional to 36,832 and 79,113 is: 169,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,832 : 79,113 = 79,113 : x
  2. Step 2: Convert to fraction form
    36,832/79,113 = 79,113/x
  3. Step 3: Cross multiply
    36,832x = 79,113 × 79,113
  4. Step 4: Simplify right side
    36,832x = 6,258,866,769
  5. Step 5: Solve for x
    x = 6,258,866,769/36,832
  6. Step 6: Final answer
    x = 169,930.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.