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Finding the Third Proportional to 73,798 and 158,098

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Solution

The third proportional to 73,798 and 158,098 is: 338,694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,798 : 158,098 = 158,098 : x
  2. Step 2: Convert to fraction form
    73,798/158,098 = 158,098/x
  3. Step 3: Cross multiply
    73,798x = 158,098 × 158,098
  4. Step 4: Simplify right side
    73,798x = 24,994,977,604
  5. Step 5: Solve for x
    x = 24,994,977,604/73,798
  6. Step 6: Final answer
    x = 338,694.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.