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Finding the Third Proportional to 69,702 and 106,644

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Solution

The third proportional to 69,702 and 106,644 is: 163,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,702 : 106,644 = 106,644 : x
  2. Step 2: Convert to fraction form
    69,702/106,644 = 106,644/x
  3. Step 3: Cross multiply
    69,702x = 106,644 × 106,644
  4. Step 4: Simplify right side
    69,702x = 11,372,942,736
  5. Step 5: Solve for x
    x = 11,372,942,736/69,702
  6. Step 6: Final answer
    x = 163,165.23

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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.