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Finding the Third Proportional to 70,109 and 101,963

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Solution

The third proportional to 70,109 and 101,963 is: 148,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,109 : 101,963 = 101,963 : x
  2. Step 2: Convert to fraction form
    70,109/101,963 = 101,963/x
  3. Step 3: Cross multiply
    70,109x = 101,963 × 101,963
  4. Step 4: Simplify right side
    70,109x = 10,396,453,369
  5. Step 5: Solve for x
    x = 10,396,453,369/70,109
  6. Step 6: Final answer
    x = 148,289.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.