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Finding the Third Proportional to 126,746 and 177,202

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Solution

The third proportional to 126,746 and 177,202 is: 247,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,746 : 177,202 = 177,202 : x
  2. Step 2: Convert to fraction form
    126,746/177,202 = 177,202/x
  3. Step 3: Cross multiply
    126,746x = 177,202 × 177,202
  4. Step 4: Simplify right side
    126,746x = 31,400,548,804
  5. Step 5: Solve for x
    x = 31,400,548,804/126,746
  6. Step 6: Final answer
    x = 247,743.90

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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.