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Finding the Third Proportional to 64,172.25 and 139,532.63

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Solution

The third proportional to 64,172.25 and 139,532.63 is: 303,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,172.25 : 139,532.63 = 139,532.63 : x
  2. Step 2: Convert to fraction form
    64,172.25/139,532.63 = 139,532.63/x
  3. Step 3: Cross multiply
    64,172.25x = 139,532.63 × 139,532.63
  4. Step 4: Simplify right side
    64,172.25x = 19,469,353,439.39
  5. Step 5: Solve for x
    x = 19,469,353,439.39/64,172.25
  6. Step 6: Final answer
    x = 303,392.10

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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.