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Finding the Third Proportional to 73,947 and 158,952

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Solution

The third proportional to 73,947 and 158,952 is: 341,673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,947 : 158,952 = 158,952 : x
  2. Step 2: Convert to fraction form
    73,947/158,952 = 158,952/x
  3. Step 3: Cross multiply
    73,947x = 158,952 × 158,952
  4. Step 4: Simplify right side
    73,947x = 25,265,738,304
  5. Step 5: Solve for x
    x = 25,265,738,304/73,947
  6. Step 6: Final answer
    x = 341,673.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.