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Finding the Third Proportional to 101,522.75 and 148,821.25

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Solution

The third proportional to 101,522.75 and 148,821.25 is: 218,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,522.75 : 148,821.25 = 148,821.25 : x
  2. Step 2: Convert to fraction form
    101,522.75/148,821.25 = 148,821.25/x
  3. Step 3: Cross multiply
    101,522.75x = 148,821.25 × 148,821.25
  4. Step 4: Simplify right side
    101,522.75x = 22,147,764,451.56
  5. Step 5: Solve for x
    x = 22,147,764,451.56/101,522.75
  6. Step 6: Final answer
    x = 218,155.68

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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.