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Finding the Third Proportional to 73,881 and 144,069

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Solution

The third proportional to 73,881 and 144,069 is: 280,936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,881 : 144,069 = 144,069 : x
  2. Step 2: Convert to fraction form
    73,881/144,069 = 144,069/x
  3. Step 3: Cross multiply
    73,881x = 144,069 × 144,069
  4. Step 4: Simplify right side
    73,881x = 20,755,876,761
  5. Step 5: Solve for x
    x = 20,755,876,761/73,881
  6. Step 6: Final answer
    x = 280,936.60

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.