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Finding the Third Proportional to 75,902 and 166,382

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Solution

The third proportional to 75,902 and 166,382 is: 364,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,902 : 166,382 = 166,382 : x
  2. Step 2: Convert to fraction form
    75,902/166,382 = 166,382/x
  3. Step 3: Cross multiply
    75,902x = 166,382 × 166,382
  4. Step 4: Simplify right side
    75,902x = 27,682,969,924
  5. Step 5: Solve for x
    x = 27,682,969,924/75,902
  6. Step 6: Final answer
    x = 364,719.90

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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.