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Finding the Third Proportional to 62,180.50 and 133,233

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Solution

The third proportional to 62,180.50 and 133,233 is: 285,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,180.50 : 133,233 = 133,233 : x
  2. Step 2: Convert to fraction form
    62,180.50/133,233 = 133,233/x
  3. Step 3: Cross multiply
    62,180.50x = 133,233 × 133,233
  4. Step 4: Simplify right side
    62,180.50x = 17,751,032,289
  5. Step 5: Solve for x
    x = 17,751,032,289/62,180.50
  6. Step 6: Final answer
    x = 285,475.87

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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.