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Finding the Third Proportional to 44,150 and 91,297

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Solution

The third proportional to 44,150 and 91,297 is: 188,791.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,150 : 91,297 = 91,297 : x
  2. Step 2: Convert to fraction form
    44,150/91,297 = 91,297/x
  3. Step 3: Cross multiply
    44,150x = 91,297 × 91,297
  4. Step 4: Simplify right side
    44,150x = 8,335,142,209
  5. Step 5: Solve for x
    x = 8,335,142,209/44,150
  6. Step 6: Final answer
    x = 188,791.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.