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Finding the Third Proportional to 69,074 and 106,671

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Solution

The third proportional to 69,074 and 106,671 is: 164,732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,074 : 106,671 = 106,671 : x
  2. Step 2: Convert to fraction form
    69,074/106,671 = 106,671/x
  3. Step 3: Cross multiply
    69,074x = 106,671 × 106,671
  4. Step 4: Simplify right side
    69,074x = 11,378,702,241
  5. Step 5: Solve for x
    x = 11,378,702,241/69,074
  6. Step 6: Final answer
    x = 164,732.06

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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.