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Finding the Third Proportional to 61,067 and 131,341

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Solution

The third proportional to 61,067 and 131,341 is: 282,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,067 : 131,341 = 131,341 : x
  2. Step 2: Convert to fraction form
    61,067/131,341 = 131,341/x
  3. Step 3: Cross multiply
    61,067x = 131,341 × 131,341
  4. Step 4: Simplify right side
    61,067x = 17,250,458,281
  5. Step 5: Solve for x
    x = 17,250,458,281/61,067
  6. Step 6: Final answer
    x = 282,484.13

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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.