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Finding the Third Proportional to 65,718 and 104,199

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Solution

The third proportional to 65,718 and 104,199 is: 165,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,718 : 104,199 = 104,199 : x
  2. Step 2: Convert to fraction form
    65,718/104,199 = 104,199/x
  3. Step 3: Cross multiply
    65,718x = 104,199 × 104,199
  4. Step 4: Simplify right side
    65,718x = 10,857,431,601
  5. Step 5: Solve for x
    x = 10,857,431,601/65,718
  6. Step 6: Final answer
    x = 165,212.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.