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Finding the Third Proportional to 75,016 and 177,081

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Solution

The third proportional to 75,016 and 177,081 is: 418,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,016 : 177,081 = 177,081 : x
  2. Step 2: Convert to fraction form
    75,016/177,081 = 177,081/x
  3. Step 3: Cross multiply
    75,016x = 177,081 × 177,081
  4. Step 4: Simplify right side
    75,016x = 31,357,680,561
  5. Step 5: Solve for x
    x = 31,357,680,561/75,016
  6. Step 6: Final answer
    x = 418,013.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.