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Finding the Third Proportional to 36,742 and 80,520

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Solution

The third proportional to 36,742 and 80,520 is: 176,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,742 : 80,520 = 80,520 : x
  2. Step 2: Convert to fraction form
    36,742/80,520 = 80,520/x
  3. Step 3: Cross multiply
    36,742x = 80,520 × 80,520
  4. Step 4: Simplify right side
    36,742x = 6,483,470,400
  5. Step 5: Solve for x
    x = 6,483,470,400/36,742
  6. Step 6: Final answer
    x = 176,459.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.