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Finding the Third Proportional to 106,690 and 177,827

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Solution

The third proportional to 106,690 and 177,827 is: 296,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,690 : 177,827 = 177,827 : x
  2. Step 2: Convert to fraction form
    106,690/177,827 = 177,827/x
  3. Step 3: Cross multiply
    106,690x = 177,827 × 177,827
  4. Step 4: Simplify right side
    106,690x = 31,622,441,929
  5. Step 5: Solve for x
    x = 31,622,441,929/106,690
  6. Step 6: Final answer
    x = 296,395.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.