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Finding the Third Proportional to 62,794 and 88,006

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Solution

The third proportional to 62,794 and 88,006 is: 123,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,794 : 88,006 = 88,006 : x
  2. Step 2: Convert to fraction form
    62,794/88,006 = 88,006/x
  3. Step 3: Cross multiply
    62,794x = 88,006 × 88,006
  4. Step 4: Simplify right side
    62,794x = 7,745,056,036
  5. Step 5: Solve for x
    x = 7,745,056,036/62,794
  6. Step 6: Final answer
    x = 123,340.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.