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Finding the Third Proportional to 41,191 and 85,297

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Solution

The third proportional to 41,191 and 85,297 is: 176,630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,191 : 85,297 = 85,297 : x
  2. Step 2: Convert to fraction form
    41,191/85,297 = 85,297/x
  3. Step 3: Cross multiply
    41,191x = 85,297 × 85,297
  4. Step 4: Simplify right side
    41,191x = 7,275,578,209
  5. Step 5: Solve for x
    x = 7,275,578,209/41,191
  6. Step 6: Final answer
    x = 176,630.29

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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.