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Finding the Third Proportional to 74,772 and 164,367

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Solution

The third proportional to 74,772 and 164,367 is: 361,318.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,772 : 164,367 = 164,367 : x
  2. Step 2: Convert to fraction form
    74,772/164,367 = 164,367/x
  3. Step 3: Cross multiply
    74,772x = 164,367 × 164,367
  4. Step 4: Simplify right side
    74,772x = 27,016,510,689
  5. Step 5: Solve for x
    x = 27,016,510,689/74,772
  6. Step 6: Final answer
    x = 361,318.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.