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Finding the Third Proportional to 96,770 and 152,067

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Solution

The third proportional to 96,770 and 152,067 is: 238,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,770 : 152,067 = 152,067 : x
  2. Step 2: Convert to fraction form
    96,770/152,067 = 152,067/x
  3. Step 3: Cross multiply
    96,770x = 152,067 × 152,067
  4. Step 4: Simplify right side
    96,770x = 23,124,372,489
  5. Step 5: Solve for x
    x = 23,124,372,489/96,770
  6. Step 6: Final answer
    x = 238,962.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.