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Finding the Third Proportional to 33,931 and 76,202

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Solution

The third proportional to 33,931 and 76,202 is: 171,133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,931 : 76,202 = 76,202 : x
  2. Step 2: Convert to fraction form
    33,931/76,202 = 76,202/x
  3. Step 3: Cross multiply
    33,931x = 76,202 × 76,202
  4. Step 4: Simplify right side
    33,931x = 5,806,744,804
  5. Step 5: Solve for x
    x = 5,806,744,804/33,931
  6. Step 6: Final answer
    x = 171,133.91

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.