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Finding the Third Proportional to 73,065 and 159,819

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Solution

The third proportional to 73,065 and 159,819 is: 349,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,065 : 159,819 = 159,819 : x
  2. Step 2: Convert to fraction form
    73,065/159,819 = 159,819/x
  3. Step 3: Cross multiply
    73,065x = 159,819 × 159,819
  4. Step 4: Simplify right side
    73,065x = 25,542,112,761
  5. Step 5: Solve for x
    x = 25,542,112,761/73,065
  6. Step 6: Final answer
    x = 349,580.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.