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Finding the Third Proportional to 36,556 and 78,656

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Solution

The third proportional to 36,556 and 78,656 is: 169,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,556 : 78,656 = 78,656 : x
  2. Step 2: Convert to fraction form
    36,556/78,656 = 78,656/x
  3. Step 3: Cross multiply
    36,556x = 78,656 × 78,656
  4. Step 4: Simplify right side
    36,556x = 6,186,766,336
  5. Step 5: Solve for x
    x = 6,186,766,336/36,556
  6. Step 6: Final answer
    x = 169,240.79

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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.