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Finding the Third Proportional to 44,066 and 66,197

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Solution

The third proportional to 44,066 and 66,197 is: 99,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,066 : 66,197 = 66,197 : x
  2. Step 2: Convert to fraction form
    44,066/66,197 = 66,197/x
  3. Step 3: Cross multiply
    44,066x = 66,197 × 66,197
  4. Step 4: Simplify right side
    44,066x = 4,382,042,809
  5. Step 5: Solve for x
    x = 4,382,042,809/44,066
  6. Step 6: Final answer
    x = 99,442.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.