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Finding the Third Proportional to 66,944 and 91,794

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Solution

The third proportional to 66,944 and 91,794 is: 125,868.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,944 : 91,794 = 91,794 : x
  2. Step 2: Convert to fraction form
    66,944/91,794 = 91,794/x
  3. Step 3: Cross multiply
    66,944x = 91,794 × 91,794
  4. Step 4: Simplify right side
    66,944x = 8,426,138,436
  5. Step 5: Solve for x
    x = 8,426,138,436/66,944
  6. Step 6: Final answer
    x = 125,868.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.