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Finding the Third Proportional to 91,001 and 195,175

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Solution

The third proportional to 91,001 and 195,175 is: 418,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,001 : 195,175 = 195,175 : x
  2. Step 2: Convert to fraction form
    91,001/195,175 = 195,175/x
  3. Step 3: Cross multiply
    91,001x = 195,175 × 195,175
  4. Step 4: Simplify right side
    91,001x = 38,093,280,625
  5. Step 5: Solve for x
    x = 38,093,280,625/91,001
  6. Step 6: Final answer
    x = 418,602.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.