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Finding the Third Proportional to 106,493 and 161,684

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Solution

The third proportional to 106,493 and 161,684 is: 245,478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,493 : 161,684 = 161,684 : x
  2. Step 2: Convert to fraction form
    106,493/161,684 = 161,684/x
  3. Step 3: Cross multiply
    106,493x = 161,684 × 161,684
  4. Step 4: Simplify right side
    106,493x = 26,141,715,856
  5. Step 5: Solve for x
    x = 26,141,715,856/106,493
  6. Step 6: Final answer
    x = 245,478.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.