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Finding the Third Proportional to 87,516 and 192,051

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Solution

The third proportional to 87,516 and 192,051 is: 421,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,516 : 192,051 = 192,051 : x
  2. Step 2: Convert to fraction form
    87,516/192,051 = 192,051/x
  3. Step 3: Cross multiply
    87,516x = 192,051 × 192,051
  4. Step 4: Simplify right side
    87,516x = 36,883,586,601
  5. Step 5: Solve for x
    x = 36,883,586,601/87,516
  6. Step 6: Final answer
    x = 421,449.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.