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Finding the Third Proportional to 126,727 and 177,172

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Solution

The third proportional to 126,727 and 177,172 is: 247,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,727 : 177,172 = 177,172 : x
  2. Step 2: Convert to fraction form
    126,727/177,172 = 177,172/x
  3. Step 3: Cross multiply
    126,727x = 177,172 × 177,172
  4. Step 4: Simplify right side
    126,727x = 31,389,917,584
  5. Step 5: Solve for x
    x = 31,389,917,584/126,727
  6. Step 6: Final answer
    x = 247,697.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.