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Finding the Third Proportional to 62,538 and 133,275

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Solution

The third proportional to 62,538 and 133,275 is: 284,022.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,538 : 133,275 = 133,275 : x
  2. Step 2: Convert to fraction form
    62,538/133,275 = 133,275/x
  3. Step 3: Cross multiply
    62,538x = 133,275 × 133,275
  4. Step 4: Simplify right side
    62,538x = 17,762,225,625
  5. Step 5: Solve for x
    x = 17,762,225,625/62,538
  6. Step 6: Final answer
    x = 284,022.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.