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Finding the Third Proportional to 73,996.88 and 162,755.16

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Solution

The third proportional to 73,996.88 and 162,755.16 is: 357,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,996.88 : 162,755.16 = 162,755.16 : x
  2. Step 2: Convert to fraction form
    73,996.88/162,755.16 = 162,755.16/x
  3. Step 3: Cross multiply
    73,996.88x = 162,755.16 × 162,755.16
  4. Step 4: Simplify right side
    73,996.88x = 26,489,240,885.96
  5. Step 5: Solve for x
    x = 26,489,240,885.96/73,996.88
  6. Step 6: Final answer
    x = 357,977.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.