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Finding the Third Proportional to 90,741 and 136,200

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Solution

The third proportional to 90,741 and 136,200 is: 204,432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,741 : 136,200 = 136,200 : x
  2. Step 2: Convert to fraction form
    90,741/136,200 = 136,200/x
  3. Step 3: Cross multiply
    90,741x = 136,200 × 136,200
  4. Step 4: Simplify right side
    90,741x = 18,550,440,000
  5. Step 5: Solve for x
    x = 18,550,440,000/90,741
  6. Step 6: Final answer
    x = 204,432.84

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Why These Related Problems?

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