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Finding the Third Proportional to 73,982 and 159,786

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Solution

The third proportional to 73,982 and 159,786 is: 345,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,982 : 159,786 = 159,786 : x
  2. Step 2: Convert to fraction form
    73,982/159,786 = 159,786/x
  3. Step 3: Cross multiply
    73,982x = 159,786 × 159,786
  4. Step 4: Simplify right side
    73,982x = 25,531,565,796
  5. Step 5: Solve for x
    x = 25,531,565,796/73,982
  6. Step 6: Final answer
    x = 345,105.10

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Why These Related Problems?

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