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Finding the Third Proportional to 64,520 and 139,976

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Solution

The third proportional to 64,520 and 139,976 is: 303,677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,520 : 139,976 = 139,976 : x
  2. Step 2: Convert to fraction form
    64,520/139,976 = 139,976/x
  3. Step 3: Cross multiply
    64,520x = 139,976 × 139,976
  4. Step 4: Simplify right side
    64,520x = 19,593,280,576
  5. Step 5: Solve for x
    x = 19,593,280,576/64,520
  6. Step 6: Final answer
    x = 303,677.63

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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.