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Finding the Third Proportional to 52,192 and 69,917

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Solution

The third proportional to 52,192 and 69,917 is: 93,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,192 : 69,917 = 69,917 : x
  2. Step 2: Convert to fraction form
    52,192/69,917 = 69,917/x
  3. Step 3: Cross multiply
    52,192x = 69,917 × 69,917
  4. Step 4: Simplify right side
    52,192x = 4,888,386,889
  5. Step 5: Solve for x
    x = 4,888,386,889/52,192
  6. Step 6: Final answer
    x = 93,661.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.