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Finding the Third Proportional to 73,510 and 161,029

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Solution

The third proportional to 73,510 and 161,029 is: 352,745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,510 : 161,029 = 161,029 : x
  2. Step 2: Convert to fraction form
    73,510/161,029 = 161,029/x
  3. Step 3: Cross multiply
    73,510x = 161,029 × 161,029
  4. Step 4: Simplify right side
    73,510x = 25,930,338,841
  5. Step 5: Solve for x
    x = 25,930,338,841/73,510
  6. Step 6: Final answer
    x = 352,745.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.