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Finding the Third Proportional to 60,086 and 139,096

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Solution

The third proportional to 60,086 and 139,096 is: 322,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,086 : 139,096 = 139,096 : x
  2. Step 2: Convert to fraction form
    60,086/139,096 = 139,096/x
  3. Step 3: Cross multiply
    60,086x = 139,096 × 139,096
  4. Step 4: Simplify right side
    60,086x = 19,347,697,216
  5. Step 5: Solve for x
    x = 19,347,697,216/60,086
  6. Step 6: Final answer
    x = 322,000.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.