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Finding the Third Proportional to 87,526 and 192,072

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Solution

The third proportional to 87,526 and 192,072 is: 421,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,526 : 192,072 = 192,072 : x
  2. Step 2: Convert to fraction form
    87,526/192,072 = 192,072/x
  3. Step 3: Cross multiply
    87,526x = 192,072 × 192,072
  4. Step 4: Simplify right side
    87,526x = 36,891,653,184
  5. Step 5: Solve for x
    x = 36,891,653,184/87,526
  6. Step 6: Final answer
    x = 421,493.65

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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.