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Finding the Third Proportional to 43,976 and 89,488

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Solution

The third proportional to 43,976 and 89,488 is: 182,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,976 : 89,488 = 89,488 : x
  2. Step 2: Convert to fraction form
    43,976/89,488 = 89,488/x
  3. Step 3: Cross multiply
    43,976x = 89,488 × 89,488
  4. Step 4: Simplify right side
    43,976x = 8,008,102,144
  5. Step 5: Solve for x
    x = 8,008,102,144/43,976
  6. Step 6: Final answer
    x = 182,101.65

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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.