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Finding the Third Proportional to 70,067 and 153,761

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Solution

The third proportional to 70,067 and 153,761 is: 337,426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,067 : 153,761 = 153,761 : x
  2. Step 2: Convert to fraction form
    70,067/153,761 = 153,761/x
  3. Step 3: Cross multiply
    70,067x = 153,761 × 153,761
  4. Step 4: Simplify right side
    70,067x = 23,642,445,121
  5. Step 5: Solve for x
    x = 23,642,445,121/70,067
  6. Step 6: Final answer
    x = 337,426.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.