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Finding the Third Proportional to 70,874 and 109,661

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Solution

The third proportional to 70,874 and 109,661 is: 169,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,874 : 109,661 = 109,661 : x
  2. Step 2: Convert to fraction form
    70,874/109,661 = 109,661/x
  3. Step 3: Cross multiply
    70,874x = 109,661 × 109,661
  4. Step 4: Simplify right side
    70,874x = 12,025,534,921
  5. Step 5: Solve for x
    x = 12,025,534,921/70,874
  6. Step 6: Final answer
    x = 169,674.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.