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Finding the Third Proportional to 64,608 and 139,108

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Solution

The third proportional to 64,608 and 139,108 is: 299,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,608 : 139,108 = 139,108 : x
  2. Step 2: Convert to fraction form
    64,608/139,108 = 139,108/x
  3. Step 3: Cross multiply
    64,608x = 139,108 × 139,108
  4. Step 4: Simplify right side
    64,608x = 19,351,035,664
  5. Step 5: Solve for x
    x = 19,351,035,664/64,608
  6. Step 6: Final answer
    x = 299,514.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.