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Finding the Third Proportional to 74,923 and 159,382

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Solution

The third proportional to 74,923 and 159,382 is: 339,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,923 : 159,382 = 159,382 : x
  2. Step 2: Convert to fraction form
    74,923/159,382 = 159,382/x
  3. Step 3: Cross multiply
    74,923x = 159,382 × 159,382
  4. Step 4: Simplify right side
    74,923x = 25,402,621,924
  5. Step 5: Solve for x
    x = 25,402,621,924/74,923
  6. Step 6: Final answer
    x = 339,049.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.