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Finding the Third Proportional to 70,182 and 105,181

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Solution

The third proportional to 70,182 and 105,181 is: 157,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,182 : 105,181 = 105,181 : x
  2. Step 2: Convert to fraction form
    70,182/105,181 = 105,181/x
  3. Step 3: Cross multiply
    70,182x = 105,181 × 105,181
  4. Step 4: Simplify right side
    70,182x = 11,063,042,761
  5. Step 5: Solve for x
    x = 11,063,042,761/70,182
  6. Step 6: Final answer
    x = 157,633.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.