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Finding the Third Proportional to 73,449 and 159,363

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Solution

The third proportional to 73,449 and 159,363 is: 345,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,449 : 159,363 = 159,363 : x
  2. Step 2: Convert to fraction form
    73,449/159,363 = 159,363/x
  3. Step 3: Cross multiply
    73,449x = 159,363 × 159,363
  4. Step 4: Simplify right side
    73,449x = 25,396,565,769
  5. Step 5: Solve for x
    x = 25,396,565,769/73,449
  6. Step 6: Final answer
    x = 345,771.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.