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Finding the Third Proportional to 62,328 and 133,399.50

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Solution

The third proportional to 62,328 and 133,399.50 is: 285,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,328 : 133,399.50 = 133,399.50 : x
  2. Step 2: Convert to fraction form
    62,328/133,399.50 = 133,399.50/x
  3. Step 3: Cross multiply
    62,328x = 133,399.50 × 133,399.50
  4. Step 4: Simplify right side
    62,328x = 17,795,426,600.25
  5. Step 5: Solve for x
    x = 17,795,426,600.25/62,328
  6. Step 6: Final answer
    x = 285,512.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.