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Finding the Third Proportional to 70,683 and 106,176.75

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Solution

The third proportional to 70,683 and 106,176.75 is: 159,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,683 : 106,176.75 = 106,176.75 : x
  2. Step 2: Convert to fraction form
    70,683/106,176.75 = 106,176.75/x
  3. Step 3: Cross multiply
    70,683x = 106,176.75 × 106,176.75
  4. Step 4: Simplify right side
    70,683x = 11,273,502,240.56
  5. Step 5: Solve for x
    x = 11,273,502,240.56/70,683
  6. Step 6: Final answer
    x = 159,493.83

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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.