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Finding the Third Proportional to 64,321.50 and 139,767

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Solution

The third proportional to 64,321.50 and 139,767 is: 303,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,321.50 : 139,767 = 139,767 : x
  2. Step 2: Convert to fraction form
    64,321.50/139,767 = 139,767/x
  3. Step 3: Cross multiply
    64,321.50x = 139,767 × 139,767
  4. Step 4: Simplify right side
    64,321.50x = 19,534,814,289
  5. Step 5: Solve for x
    x = 19,534,814,289/64,321.50
  6. Step 6: Final answer
    x = 303,705.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.