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Finding the Third Proportional to 64,571 and 139,867

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Solution

The third proportional to 64,571 and 139,867 is: 302,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,571 : 139,867 = 139,867 : x
  2. Step 2: Convert to fraction form
    64,571/139,867 = 139,867/x
  3. Step 3: Cross multiply
    64,571x = 139,867 × 139,867
  4. Step 4: Simplify right side
    64,571x = 19,562,777,689
  5. Step 5: Solve for x
    x = 19,562,777,689/64,571
  6. Step 6: Final answer
    x = 302,965.38

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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.