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Finding the Third Proportional to 67,926 and 148,974

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Solution

The third proportional to 67,926 and 148,974 is: 326,726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,926 : 148,974 = 148,974 : x
  2. Step 2: Convert to fraction form
    67,926/148,974 = 148,974/x
  3. Step 3: Cross multiply
    67,926x = 148,974 × 148,974
  4. Step 4: Simplify right side
    67,926x = 22,193,252,676
  5. Step 5: Solve for x
    x = 22,193,252,676/67,926
  6. Step 6: Final answer
    x = 326,726.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.