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Finding the Third Proportional to 36,554 and 78,751

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Solution

The third proportional to 36,554 and 78,751 is: 169,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,554 : 78,751 = 78,751 : x
  2. Step 2: Convert to fraction form
    36,554/78,751 = 78,751/x
  3. Step 3: Cross multiply
    36,554x = 78,751 × 78,751
  4. Step 4: Simplify right side
    36,554x = 6,201,720,001
  5. Step 5: Solve for x
    x = 6,201,720,001/36,554
  6. Step 6: Final answer
    x = 169,659.13

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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.