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Finding the Third Proportional to 70,816 and 108,700

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Solution

The third proportional to 70,816 and 108,700 is: 166,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,816 : 108,700 = 108,700 : x
  2. Step 2: Convert to fraction form
    70,816/108,700 = 108,700/x
  3. Step 3: Cross multiply
    70,816x = 108,700 × 108,700
  4. Step 4: Simplify right side
    70,816x = 11,815,690,000
  5. Step 5: Solve for x
    x = 11,815,690,000/70,816
  6. Step 6: Final answer
    x = 166,850.57

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.