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Finding the Third Proportional to 116,568 and 177,129

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Solution

The third proportional to 116,568 and 177,129 is: 269,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,568 : 177,129 = 177,129 : x
  2. Step 2: Convert to fraction form
    116,568/177,129 = 177,129/x
  3. Step 3: Cross multiply
    116,568x = 177,129 × 177,129
  4. Step 4: Simplify right side
    116,568x = 31,374,682,641
  5. Step 5: Solve for x
    x = 31,374,682,641/116,568
  6. Step 6: Final answer
    x = 269,153.48

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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.