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Finding the Third Proportional to 60,610 and 131,901

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Solution

The third proportional to 60,610 and 131,901 is: 287,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,610 : 131,901 = 131,901 : x
  2. Step 2: Convert to fraction form
    60,610/131,901 = 131,901/x
  3. Step 3: Cross multiply
    60,610x = 131,901 × 131,901
  4. Step 4: Simplify right side
    60,610x = 17,397,873,801
  5. Step 5: Solve for x
    x = 17,397,873,801/60,610
  6. Step 6: Final answer
    x = 287,046.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.