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Finding the Third Proportional to 67,984 and 99,974

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Solution

The third proportional to 67,984 and 99,974 is: 147,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,984 : 99,974 = 99,974 : x
  2. Step 2: Convert to fraction form
    67,984/99,974 = 99,974/x
  3. Step 3: Cross multiply
    67,984x = 99,974 × 99,974
  4. Step 4: Simplify right side
    67,984x = 9,994,800,676
  5. Step 5: Solve for x
    x = 9,994,800,676/67,984
  6. Step 6: Final answer
    x = 147,016.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.