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Finding the Third Proportional to 36,188 and 78,571

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Solution

The third proportional to 36,188 and 78,571 is: 170,592.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,188 : 78,571 = 78,571 : x
  2. Step 2: Convert to fraction form
    36,188/78,571 = 78,571/x
  3. Step 3: Cross multiply
    36,188x = 78,571 × 78,571
  4. Step 4: Simplify right side
    36,188x = 6,173,402,041
  5. Step 5: Solve for x
    x = 6,173,402,041/36,188
  6. Step 6: Final answer
    x = 170,592.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.