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Finding the Third Proportional to 33,263 and 71,138

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Solution

The third proportional to 33,263 and 71,138 is: 152,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,263 : 71,138 = 71,138 : x
  2. Step 2: Convert to fraction form
    33,263/71,138 = 71,138/x
  3. Step 3: Cross multiply
    33,263x = 71,138 × 71,138
  4. Step 4: Simplify right side
    33,263x = 5,060,615,044
  5. Step 5: Solve for x
    x = 5,060,615,044/33,263
  6. Step 6: Final answer
    x = 152,139.47

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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.