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Finding the Third Proportional to 73,615 and 158,888

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Solution

The third proportional to 73,615 and 158,888 is: 342,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,615 : 158,888 = 158,888 : x
  2. Step 2: Convert to fraction form
    73,615/158,888 = 158,888/x
  3. Step 3: Cross multiply
    73,615x = 158,888 × 158,888
  4. Step 4: Simplify right side
    73,615x = 25,245,396,544
  5. Step 5: Solve for x
    x = 25,245,396,544/73,615
  6. Step 6: Final answer
    x = 342,938.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.