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Finding the Third Proportional to 73,625 and 160,138

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Solution

The third proportional to 73,625 and 160,138 is: 348,308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,625 : 160,138 = 160,138 : x
  2. Step 2: Convert to fraction form
    73,625/160,138 = 160,138/x
  3. Step 3: Cross multiply
    73,625x = 160,138 × 160,138
  4. Step 4: Simplify right side
    73,625x = 25,644,179,044
  5. Step 5: Solve for x
    x = 25,644,179,044/73,625
  6. Step 6: Final answer
    x = 348,308.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.