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Finding the Third Proportional to 69,724 and 106,680

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Solution

The third proportional to 69,724 and 106,680 is: 163,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,724 : 106,680 = 106,680 : x
  2. Step 2: Convert to fraction form
    69,724/106,680 = 106,680/x
  3. Step 3: Cross multiply
    69,724x = 106,680 × 106,680
  4. Step 4: Simplify right side
    69,724x = 11,380,622,400
  5. Step 5: Solve for x
    x = 11,380,622,400/69,724
  6. Step 6: Final answer
    x = 163,223.89

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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.