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Finding the Third Proportional to 91,384 and 136,318

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Solution

The third proportional to 91,384 and 136,318 is: 203,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,384 : 136,318 = 136,318 : x
  2. Step 2: Convert to fraction form
    91,384/136,318 = 136,318/x
  3. Step 3: Cross multiply
    91,384x = 136,318 × 136,318
  4. Step 4: Simplify right side
    91,384x = 18,582,597,124
  5. Step 5: Solve for x
    x = 18,582,597,124/91,384
  6. Step 6: Final answer
    x = 203,346.29

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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.