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Finding the Third Proportional to 89,750 and 182,443

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Solution

The third proportional to 89,750 and 182,443 is: 370,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,750 : 182,443 = 182,443 : x
  2. Step 2: Convert to fraction form
    89,750/182,443 = 182,443/x
  3. Step 3: Cross multiply
    89,750x = 182,443 × 182,443
  4. Step 4: Simplify right side
    89,750x = 33,285,448,249
  5. Step 5: Solve for x
    x = 33,285,448,249/89,750
  6. Step 6: Final answer
    x = 370,868.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.