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Finding the Third Proportional to 75,081 and 164,622

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Solution

The third proportional to 75,081 and 164,622 is: 360,948.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,081 : 164,622 = 164,622 : x
  2. Step 2: Convert to fraction form
    75,081/164,622 = 164,622/x
  3. Step 3: Cross multiply
    75,081x = 164,622 × 164,622
  4. Step 4: Simplify right side
    75,081x = 27,100,402,884
  5. Step 5: Solve for x
    x = 27,100,402,884/75,081
  6. Step 6: Final answer
    x = 360,948.88

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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.