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Finding the Third Proportional to 66,698 and 101,741

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Solution

The third proportional to 66,698 and 101,741 is: 155,195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,698 : 101,741 = 101,741 : x
  2. Step 2: Convert to fraction form
    66,698/101,741 = 101,741/x
  3. Step 3: Cross multiply
    66,698x = 101,741 × 101,741
  4. Step 4: Simplify right side
    66,698x = 10,351,231,081
  5. Step 5: Solve for x
    x = 10,351,231,081/66,698
  6. Step 6: Final answer
    x = 155,195.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.