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Finding the Third Proportional to 69,987 and 150,908

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Solution

The third proportional to 69,987 and 150,908 is: 325,392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,987 : 150,908 = 150,908 : x
  2. Step 2: Convert to fraction form
    69,987/150,908 = 150,908/x
  3. Step 3: Cross multiply
    69,987x = 150,908 × 150,908
  4. Step 4: Simplify right side
    69,987x = 22,773,224,464
  5. Step 5: Solve for x
    x = 22,773,224,464/69,987
  6. Step 6: Final answer
    x = 325,392.21

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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.