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Finding the Third Proportional to 109,972.69 and 239,626.69

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Solution

The third proportional to 109,972.69 and 239,626.69 is: 522,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,972.69 : 239,626.69 = 239,626.69 : x
  2. Step 2: Convert to fraction form
    109,972.69/239,626.69 = 239,626.69/x
  3. Step 3: Cross multiply
    109,972.69x = 239,626.69 × 239,626.69
  4. Step 4: Simplify right side
    109,972.69x = 57,420,949,362.22
  5. Step 5: Solve for x
    x = 57,420,949,362.22/109,972.69
  6. Step 6: Final answer
    x = 522,138.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.