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Finding the Third Proportional to 36,501 and 80,184

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Solution

The third proportional to 36,501 and 80,184 is: 176,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,501 : 80,184 = 80,184 : x
  2. Step 2: Convert to fraction form
    36,501/80,184 = 80,184/x
  3. Step 3: Cross multiply
    36,501x = 80,184 × 80,184
  4. Step 4: Simplify right side
    36,501x = 6,429,473,856
  5. Step 5: Solve for x
    x = 6,429,473,856/36,501
  6. Step 6: Final answer
    x = 176,145.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.