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Finding the Third Proportional to 92,271 and 137,926

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Solution

The third proportional to 92,271 and 137,926 is: 206,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,271 : 137,926 = 137,926 : x
  2. Step 2: Convert to fraction form
    92,271/137,926 = 137,926/x
  3. Step 3: Cross multiply
    92,271x = 137,926 × 137,926
  4. Step 4: Simplify right side
    92,271x = 19,023,581,476
  5. Step 5: Solve for x
    x = 19,023,581,476/92,271
  6. Step 6: Final answer
    x = 206,170.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.