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Finding the Third Proportional to 36,292 and 78,598

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Solution

The third proportional to 36,292 and 78,598 is: 170,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,292 : 78,598 = 78,598 : x
  2. Step 2: Convert to fraction form
    36,292/78,598 = 78,598/x
  3. Step 3: Cross multiply
    36,292x = 78,598 × 78,598
  4. Step 4: Simplify right side
    36,292x = 6,177,645,604
  5. Step 5: Solve for x
    x = 6,177,645,604/36,292
  6. Step 6: Final answer
    x = 170,220.59

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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.