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Finding the Third Proportional to 33,206 and 71,332

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Solution

The third proportional to 33,206 and 71,332 is: 153,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,206 : 71,332 = 71,332 : x
  2. Step 2: Convert to fraction form
    33,206/71,332 = 71,332/x
  3. Step 3: Cross multiply
    33,206x = 71,332 × 71,332
  4. Step 4: Simplify right side
    33,206x = 5,088,254,224
  5. Step 5: Solve for x
    x = 5,088,254,224/33,206
  6. Step 6: Final answer
    x = 153,232.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.