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Finding the Third Proportional to 64,617.75 and 139,613.25

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Solution

The third proportional to 64,617.75 and 139,613.25 is: 301,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,617.75 : 139,613.25 = 139,613.25 : x
  2. Step 2: Convert to fraction form
    64,617.75/139,613.25 = 139,613.25/x
  3. Step 3: Cross multiply
    64,617.75x = 139,613.25 × 139,613.25
  4. Step 4: Simplify right side
    64,617.75x = 19,491,859,575.56
  5. Step 5: Solve for x
    x = 19,491,859,575.56/64,617.75
  6. Step 6: Final answer
    x = 301,648.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.