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Finding the Third Proportional to 33,899 and 70,156

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Solution

The third proportional to 33,899 and 70,156 is: 145,192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,899 : 70,156 = 70,156 : x
  2. Step 2: Convert to fraction form
    33,899/70,156 = 70,156/x
  3. Step 3: Cross multiply
    33,899x = 70,156 × 70,156
  4. Step 4: Simplify right side
    33,899x = 4,921,864,336
  5. Step 5: Solve for x
    x = 4,921,864,336/33,899
  6. Step 6: Final answer
    x = 145,192.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.