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Finding the Third Proportional to 87,528 and 192,075

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Solution

The third proportional to 87,528 and 192,075 is: 421,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,528 : 192,075 = 192,075 : x
  2. Step 2: Convert to fraction form
    87,528/192,075 = 192,075/x
  3. Step 3: Cross multiply
    87,528x = 192,075 × 192,075
  4. Step 4: Simplify right side
    87,528x = 36,892,805,625
  5. Step 5: Solve for x
    x = 36,892,805,625/87,528
  6. Step 6: Final answer
    x = 421,497.19

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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.