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Finding the Third Proportional to 90,740 and 136,202

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Solution

The third proportional to 90,740 and 136,202 is: 204,441.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,740 : 136,202 = 136,202 : x
  2. Step 2: Convert to fraction form
    90,740/136,202 = 136,202/x
  3. Step 3: Cross multiply
    90,740x = 136,202 × 136,202
  4. Step 4: Simplify right side
    90,740x = 18,550,984,804
  5. Step 5: Solve for x
    x = 18,550,984,804/90,740
  6. Step 6: Final answer
    x = 204,441.09

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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.