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Finding the Third Proportional to 70,956 and 105,819

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Solution

The third proportional to 70,956 and 105,819 is: 157,811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,956 : 105,819 = 105,819 : x
  2. Step 2: Convert to fraction form
    70,956/105,819 = 105,819/x
  3. Step 3: Cross multiply
    70,956x = 105,819 × 105,819
  4. Step 4: Simplify right side
    70,956x = 11,197,660,761
  5. Step 5: Solve for x
    x = 11,197,660,761/70,956
  6. Step 6: Final answer
    x = 157,811.33

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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.