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Finding the Third Proportional to 75,766 and 161,252

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Solution

The third proportional to 75,766 and 161,252 is: 343,190.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,766 : 161,252 = 161,252 : x
  2. Step 2: Convert to fraction form
    75,766/161,252 = 161,252/x
  3. Step 3: Cross multiply
    75,766x = 161,252 × 161,252
  4. Step 4: Simplify right side
    75,766x = 26,002,207,504
  5. Step 5: Solve for x
    x = 26,002,207,504/75,766
  6. Step 6: Final answer
    x = 343,190.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.