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Finding the Third Proportional to 36,152 and 80,042

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Solution

The third proportional to 36,152 and 80,042 is: 177,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,152 : 80,042 = 80,042 : x
  2. Step 2: Convert to fraction form
    36,152/80,042 = 80,042/x
  3. Step 3: Cross multiply
    36,152x = 80,042 × 80,042
  4. Step 4: Simplify right side
    36,152x = 6,406,721,764
  5. Step 5: Solve for x
    x = 6,406,721,764/36,152
  6. Step 6: Final answer
    x = 177,216.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.