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Finding the Third Proportional to 59,910 and 91,683

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Solution

The third proportional to 59,910 and 91,683 is: 140,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,910 : 91,683 = 91,683 : x
  2. Step 2: Convert to fraction form
    59,910/91,683 = 91,683/x
  3. Step 3: Cross multiply
    59,910x = 91,683 × 91,683
  4. Step 4: Simplify right side
    59,910x = 8,405,772,489
  5. Step 5: Solve for x
    x = 8,405,772,489/59,910
  6. Step 6: Final answer
    x = 140,306.67

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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.