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Finding the Third Proportional to 69,215 and 106,107

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Solution

The third proportional to 69,215 and 106,107 is: 162,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,215 : 106,107 = 106,107 : x
  2. Step 2: Convert to fraction form
    69,215/106,107 = 106,107/x
  3. Step 3: Cross multiply
    69,215x = 106,107 × 106,107
  4. Step 4: Simplify right side
    69,215x = 11,258,695,449
  5. Step 5: Solve for x
    x = 11,258,695,449/69,215
  6. Step 6: Final answer
    x = 162,662.65

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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.