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Finding the Third Proportional to 69,065 and 106,652

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Solution

The third proportional to 69,065 and 106,652 is: 164,694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,065 : 106,652 = 106,652 : x
  2. Step 2: Convert to fraction form
    69,065/106,652 = 106,652/x
  3. Step 3: Cross multiply
    69,065x = 106,652 × 106,652
  4. Step 4: Simplify right side
    69,065x = 11,374,649,104
  5. Step 5: Solve for x
    x = 11,374,649,104/69,065
  6. Step 6: Final answer
    x = 164,694.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.