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Finding the Third Proportional to 73,794 and 161,442

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Solution

The third proportional to 73,794 and 161,442 is: 353,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,794 : 161,442 = 161,442 : x
  2. Step 2: Convert to fraction form
    73,794/161,442 = 161,442/x
  3. Step 3: Cross multiply
    73,794x = 161,442 × 161,442
  4. Step 4: Simplify right side
    73,794x = 26,063,519,364
  5. Step 5: Solve for x
    x = 26,063,519,364/73,794
  6. Step 6: Final answer
    x = 353,192.93

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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.