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Finding the Third Proportional to 91,738 and 135,904

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Solution

The third proportional to 91,738 and 135,904 is: 201,333.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,738 : 135,904 = 135,904 : x
  2. Step 2: Convert to fraction form
    91,738/135,904 = 135,904/x
  3. Step 3: Cross multiply
    91,738x = 135,904 × 135,904
  4. Step 4: Simplify right side
    91,738x = 18,469,897,216
  5. Step 5: Solve for x
    x = 18,469,897,216/91,738
  6. Step 6: Final answer
    x = 201,333.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.