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Finding the Third Proportional to 87,983 and 119,536

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Solution

The third proportional to 87,983 and 119,536 is: 162,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,983 : 119,536 = 119,536 : x
  2. Step 2: Convert to fraction form
    87,983/119,536 = 119,536/x
  3. Step 3: Cross multiply
    87,983x = 119,536 × 119,536
  4. Step 4: Simplify right side
    87,983x = 14,288,855,296
  5. Step 5: Solve for x
    x = 14,288,855,296/87,983
  6. Step 6: Final answer
    x = 162,404.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.