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Finding the Third Proportional to 35,334 and 76,836

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Solution

The third proportional to 35,334 and 76,836 is: 167,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,334 : 76,836 = 76,836 : x
  2. Step 2: Convert to fraction form
    35,334/76,836 = 76,836/x
  3. Step 3: Cross multiply
    35,334x = 76,836 × 76,836
  4. Step 4: Simplify right side
    35,334x = 5,903,770,896
  5. Step 5: Solve for x
    x = 5,903,770,896/35,334
  6. Step 6: Final answer
    x = 167,084.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.