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Finding the Third Proportional to 61,933 and 136,199

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Solution

The third proportional to 61,933 and 136,199 is: 299,519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,933 : 136,199 = 136,199 : x
  2. Step 2: Convert to fraction form
    61,933/136,199 = 136,199/x
  3. Step 3: Cross multiply
    61,933x = 136,199 × 136,199
  4. Step 4: Simplify right side
    61,933x = 18,550,167,601
  5. Step 5: Solve for x
    x = 18,550,167,601/61,933
  6. Step 6: Final answer
    x = 299,519.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.