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Finding the Third Proportional to 87,883 and 136,193.50

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Solution

The third proportional to 87,883 and 136,193.50 is: 211,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,883 : 136,193.50 = 136,193.50 : x
  2. Step 2: Convert to fraction form
    87,883/136,193.50 = 136,193.50/x
  3. Step 3: Cross multiply
    87,883x = 136,193.50 × 136,193.50
  4. Step 4: Simplify right side
    87,883x = 18,548,669,442.25
  5. Step 5: Solve for x
    x = 18,548,669,442.25/87,883
  6. Step 6: Final answer
    x = 211,060.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.