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Finding the Third Proportional to 64,517.50 and 139,241

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Solution

The third proportional to 64,517.50 and 139,241 is: 300,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,517.50 : 139,241 = 139,241 : x
  2. Step 2: Convert to fraction form
    64,517.50/139,241 = 139,241/x
  3. Step 3: Cross multiply
    64,517.50x = 139,241 × 139,241
  4. Step 4: Simplify right side
    64,517.50x = 19,388,056,081
  5. Step 5: Solve for x
    x = 19,388,056,081/64,517.50
  6. Step 6: Final answer
    x = 300,508.48

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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.