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Finding the Third Proportional to 67,182 and 139,890

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Solution

The third proportional to 67,182 and 139,890 is: 291,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,182 : 139,890 = 139,890 : x
  2. Step 2: Convert to fraction form
    67,182/139,890 = 139,890/x
  3. Step 3: Cross multiply
    67,182x = 139,890 × 139,890
  4. Step 4: Simplify right side
    67,182x = 19,569,212,100
  5. Step 5: Solve for x
    x = 19,569,212,100/67,182
  6. Step 6: Final answer
    x = 291,286.54

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.