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Finding the Third Proportional to 87,521 and 178,252

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Solution

The third proportional to 87,521 and 178,252 is: 363,041.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,521 : 178,252 = 178,252 : x
  2. Step 2: Convert to fraction form
    87,521/178,252 = 178,252/x
  3. Step 3: Cross multiply
    87,521x = 178,252 × 178,252
  4. Step 4: Simplify right side
    87,521x = 31,773,775,504
  5. Step 5: Solve for x
    x = 31,773,775,504/87,521
  6. Step 6: Final answer
    x = 363,041.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.