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Finding the Third Proportional to 36,398.25 and 78,111

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Solution

The third proportional to 36,398.25 and 78,111 is: 167,626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,398.25 : 78,111 = 78,111 : x
  2. Step 2: Convert to fraction form
    36,398.25/78,111 = 78,111/x
  3. Step 3: Cross multiply
    36,398.25x = 78,111 × 78,111
  4. Step 4: Simplify right side
    36,398.25x = 6,101,328,321
  5. Step 5: Solve for x
    x = 6,101,328,321/36,398.25
  6. Step 6: Final answer
    x = 167,626.97

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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.