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Finding the Third Proportional to 91,190 and 136,420

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Solution

The third proportional to 91,190 and 136,420 is: 204,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,190 : 136,420 = 136,420 : x
  2. Step 2: Convert to fraction form
    91,190/136,420 = 136,420/x
  3. Step 3: Cross multiply
    91,190x = 136,420 × 136,420
  4. Step 4: Simplify right side
    91,190x = 18,610,416,400
  5. Step 5: Solve for x
    x = 18,610,416,400/91,190
  6. Step 6: Final answer
    x = 204,083.96

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