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Finding the Third Proportional to 33,133 and 66,239

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Solution

The third proportional to 33,133 and 66,239 is: 132,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,133 : 66,239 = 66,239 : x
  2. Step 2: Convert to fraction form
    33,133/66,239 = 66,239/x
  3. Step 3: Cross multiply
    33,133x = 66,239 × 66,239
  4. Step 4: Simplify right side
    33,133x = 4,387,605,121
  5. Step 5: Solve for x
    x = 4,387,605,121/33,133
  6. Step 6: Final answer
    x = 132,424.02

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.