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Finding the Third Proportional to 91,344 and 136,644

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Solution

The third proportional to 91,344 and 136,644 is: 204,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,344 : 136,644 = 136,644 : x
  2. Step 2: Convert to fraction form
    91,344/136,644 = 136,644/x
  3. Step 3: Cross multiply
    91,344x = 136,644 × 136,644
  4. Step 4: Simplify right side
    91,344x = 18,671,582,736
  5. Step 5: Solve for x
    x = 18,671,582,736/91,344
  6. Step 6: Final answer
    x = 204,409.51

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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.