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Finding the Third Proportional to 91,577 and 190,170

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Solution

The third proportional to 91,577 and 190,170 is: 394,909.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,577 : 190,170 = 190,170 : x
  2. Step 2: Convert to fraction form
    91,577/190,170 = 190,170/x
  3. Step 3: Cross multiply
    91,577x = 190,170 × 190,170
  4. Step 4: Simplify right side
    91,577x = 36,164,628,900
  5. Step 5: Solve for x
    x = 36,164,628,900/91,577
  6. Step 6: Final answer
    x = 394,909.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.