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Finding the Third Proportional to 33,254 and 71,120

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Solution

The third proportional to 33,254 and 71,120 is: 152,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,254 : 71,120 = 71,120 : x
  2. Step 2: Convert to fraction form
    33,254/71,120 = 71,120/x
  3. Step 3: Cross multiply
    33,254x = 71,120 × 71,120
  4. Step 4: Simplify right side
    33,254x = 5,058,054,400
  5. Step 5: Solve for x
    x = 5,058,054,400/33,254
  6. Step 6: Final answer
    x = 152,103.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.