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Finding the Third Proportional to 106,496 and 161,689

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Solution

The third proportional to 106,496 and 161,689 is: 245,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,496 : 161,689 = 161,689 : x
  2. Step 2: Convert to fraction form
    106,496/161,689 = 161,689/x
  3. Step 3: Cross multiply
    106,496x = 161,689 × 161,689
  4. Step 4: Simplify right side
    106,496x = 26,143,332,721
  5. Step 5: Solve for x
    x = 26,143,332,721/106,496
  6. Step 6: Final answer
    x = 245,486.52

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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.