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Finding the Third Proportional to 36,156 and 54,042

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Solution

The third proportional to 36,156 and 54,042 is: 80,776.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,156 : 54,042 = 54,042 : x
  2. Step 2: Convert to fraction form
    36,156/54,042 = 54,042/x
  3. Step 3: Cross multiply
    36,156x = 54,042 × 54,042
  4. Step 4: Simplify right side
    36,156x = 2,920,537,764
  5. Step 5: Solve for x
    x = 2,920,537,764/36,156
  6. Step 6: Final answer
    x = 80,776.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.