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Finding the Third Proportional to 73,498 and 161,009

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Solution

The third proportional to 73,498 and 161,009 is: 352,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,498 : 161,009 = 161,009 : x
  2. Step 2: Convert to fraction form
    73,498/161,009 = 161,009/x
  3. Step 3: Cross multiply
    73,498x = 161,009 × 161,009
  4. Step 4: Simplify right side
    73,498x = 25,923,898,081
  5. Step 5: Solve for x
    x = 25,923,898,081/73,498
  6. Step 6: Final answer
    x = 352,715.69

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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.