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Finding the Third Proportional to 87,596 and 191,988

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Solution

The third proportional to 87,596 and 191,988 is: 420,788.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,596 : 191,988 = 191,988 : x
  2. Step 2: Convert to fraction form
    87,596/191,988 = 191,988/x
  3. Step 3: Cross multiply
    87,596x = 191,988 × 191,988
  4. Step 4: Simplify right side
    87,596x = 36,859,392,144
  5. Step 5: Solve for x
    x = 36,859,392,144/87,596
  6. Step 6: Final answer
    x = 420,788.53

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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.