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Finding the Third Proportional to 62,238 and 92,949

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Solution

The third proportional to 62,238 and 92,949 is: 138,814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,238 : 92,949 = 92,949 : x
  2. Step 2: Convert to fraction form
    62,238/92,949 = 92,949/x
  3. Step 3: Cross multiply
    62,238x = 92,949 × 92,949
  4. Step 4: Simplify right side
    62,238x = 8,639,516,601
  5. Step 5: Solve for x
    x = 8,639,516,601/62,238
  6. Step 6: Final answer
    x = 138,814.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.