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Finding the Third Proportional to 69,132 and 106,938

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Solution

The third proportional to 69,132 and 106,938 is: 165,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,132 : 106,938 = 106,938 : x
  2. Step 2: Convert to fraction form
    69,132/106,938 = 106,938/x
  3. Step 3: Cross multiply
    69,132x = 106,938 × 106,938
  4. Step 4: Simplify right side
    69,132x = 11,435,735,844
  5. Step 5: Solve for x
    x = 11,435,735,844/69,132
  6. Step 6: Final answer
    x = 165,418.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.