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Finding the Third Proportional to 62,949 and 135,254

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Solution

The third proportional to 62,949 and 135,254 is: 290,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,949 : 135,254 = 135,254 : x
  2. Step 2: Convert to fraction form
    62,949/135,254 = 135,254/x
  3. Step 3: Cross multiply
    62,949x = 135,254 × 135,254
  4. Step 4: Simplify right side
    62,949x = 18,293,644,516
  5. Step 5: Solve for x
    x = 18,293,644,516/62,949
  6. Step 6: Final answer
    x = 290,610.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.