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Finding the Third Proportional to 69,382 and 92,239

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Solution

The third proportional to 69,382 and 92,239 is: 122,625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,382 : 92,239 = 92,239 : x
  2. Step 2: Convert to fraction form
    69,382/92,239 = 92,239/x
  3. Step 3: Cross multiply
    69,382x = 92,239 × 92,239
  4. Step 4: Simplify right side
    69,382x = 8,508,033,121
  5. Step 5: Solve for x
    x = 8,508,033,121/69,382
  6. Step 6: Final answer
    x = 122,625.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.