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Finding the Third Proportional to 73,788 and 159,240

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Solution

The third proportional to 73,788 and 159,240 is: 343,651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,788 : 159,240 = 159,240 : x
  2. Step 2: Convert to fraction form
    73,788/159,240 = 159,240/x
  3. Step 3: Cross multiply
    73,788x = 159,240 × 159,240
  4. Step 4: Simplify right side
    73,788x = 25,357,377,600
  5. Step 5: Solve for x
    x = 25,357,377,600/73,788
  6. Step 6: Final answer
    x = 343,651.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.