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Finding the Third Proportional to 36,642 and 80,298

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Solution

The third proportional to 36,642 and 80,298 is: 175,966.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,642 : 80,298 = 80,298 : x
  2. Step 2: Convert to fraction form
    36,642/80,298 = 80,298/x
  3. Step 3: Cross multiply
    36,642x = 80,298 × 80,298
  4. Step 4: Simplify right side
    36,642x = 6,447,768,804
  5. Step 5: Solve for x
    x = 6,447,768,804/36,642
  6. Step 6: Final answer
    x = 175,966.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.