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Finding the Third Proportional to 70,954 and 105,816

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Solution

The third proportional to 70,954 and 105,816 is: 157,806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,954 : 105,816 = 105,816 : x
  2. Step 2: Convert to fraction form
    70,954/105,816 = 105,816/x
  3. Step 3: Cross multiply
    70,954x = 105,816 × 105,816
  4. Step 4: Simplify right side
    70,954x = 11,197,025,856
  5. Step 5: Solve for x
    x = 11,197,025,856/70,954
  6. Step 6: Final answer
    x = 157,806.83

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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.