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Finding the Third Proportional to 91,648 and 136,608

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Solution

The third proportional to 91,648 and 136,608 is: 203,624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,648 : 136,608 = 136,608 : x
  2. Step 2: Convert to fraction form
    91,648/136,608 = 136,608/x
  3. Step 3: Cross multiply
    91,648x = 136,608 × 136,608
  4. Step 4: Simplify right side
    91,648x = 18,661,745,664
  5. Step 5: Solve for x
    x = 18,661,745,664/91,648
  6. Step 6: Final answer
    x = 203,624.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.