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Finding the Third Proportional to 42,304 and 87,296

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Solution

The third proportional to 42,304 and 87,296 is: 180,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,304 : 87,296 = 87,296 : x
  2. Step 2: Convert to fraction form
    42,304/87,296 = 87,296/x
  3. Step 3: Cross multiply
    42,304x = 87,296 × 87,296
  4. Step 4: Simplify right side
    42,304x = 7,620,591,616
  5. Step 5: Solve for x
    x = 7,620,591,616/42,304
  6. Step 6: Final answer
    x = 180,138.80

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.