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Finding the Third Proportional to 75,554 and 160,081

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Solution

The third proportional to 75,554 and 160,081 is: 339,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,554 : 160,081 = 160,081 : x
  2. Step 2: Convert to fraction form
    75,554/160,081 = 160,081/x
  3. Step 3: Cross multiply
    75,554x = 160,081 × 160,081
  4. Step 4: Simplify right side
    75,554x = 25,625,926,561
  5. Step 5: Solve for x
    x = 25,625,926,561/75,554
  6. Step 6: Final answer
    x = 339,173.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.