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Finding the Third Proportional to 75,617.75 and 111,697

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Solution

The third proportional to 75,617.75 and 111,697 is: 164,990.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,617.75 : 111,697 = 111,697 : x
  2. Step 2: Convert to fraction form
    75,617.75/111,697 = 111,697/x
  3. Step 3: Cross multiply
    75,617.75x = 111,697 × 111,697
  4. Step 4: Simplify right side
    75,617.75x = 12,476,219,809
  5. Step 5: Solve for x
    x = 12,476,219,809/75,617.75
  6. Step 6: Final answer
    x = 164,990.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.