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Finding the Third Proportional to 33,139 and 72,109

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Solution

The third proportional to 33,139 and 72,109 is: 156,906.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,139 : 72,109 = 72,109 : x
  2. Step 2: Convert to fraction form
    33,139/72,109 = 72,109/x
  3. Step 3: Cross multiply
    33,139x = 72,109 × 72,109
  4. Step 4: Simplify right side
    33,139x = 5,199,707,881
  5. Step 5: Solve for x
    x = 5,199,707,881/33,139
  6. Step 6: Final answer
    x = 156,906.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.