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Finding the Third Proportional to 36,073 and 79,931

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Solution

The third proportional to 36,073 and 79,931 is: 177,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,073 : 79,931 = 79,931 : x
  2. Step 2: Convert to fraction form
    36,073/79,931 = 79,931/x
  3. Step 3: Cross multiply
    36,073x = 79,931 × 79,931
  4. Step 4: Simplify right side
    36,073x = 6,388,964,761
  5. Step 5: Solve for x
    x = 6,388,964,761/36,073
  6. Step 6: Final answer
    x = 177,112.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.