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Finding the Third Proportional to 69,209 and 106,926

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Solution

The third proportional to 69,209 and 106,926 is: 165,197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,209 : 106,926 = 106,926 : x
  2. Step 2: Convert to fraction form
    69,209/106,926 = 106,926/x
  3. Step 3: Cross multiply
    69,209x = 106,926 × 106,926
  4. Step 4: Simplify right side
    69,209x = 11,433,169,476
  5. Step 5: Solve for x
    x = 11,433,169,476/69,209
  6. Step 6: Final answer
    x = 165,197.73

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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.