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Finding the Third Proportional to 101,792 and 149,647

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Solution

The third proportional to 101,792 and 149,647 is: 219,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,792 : 149,647 = 149,647 : x
  2. Step 2: Convert to fraction form
    101,792/149,647 = 149,647/x
  3. Step 3: Cross multiply
    101,792x = 149,647 × 149,647
  4. Step 4: Simplify right side
    101,792x = 22,394,224,609
  5. Step 5: Solve for x
    x = 22,394,224,609/101,792
  6. Step 6: Final answer
    x = 219,999.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.