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Finding the Third Proportional to 126,430.88 and 177,847.31

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Solution

The third proportional to 126,430.88 and 177,847.31 is: 250,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,430.88 : 177,847.31 = 177,847.31 : x
  2. Step 2: Convert to fraction form
    126,430.88/177,847.31 = 177,847.31/x
  3. Step 3: Cross multiply
    126,430.88x = 177,847.31 × 177,847.31
  4. Step 4: Simplify right side
    126,430.88x = 31,629,666,563.47
  5. Step 5: Solve for x
    x = 31,629,666,563.47/126,430.88
  6. Step 6: Final answer
    x = 250,173.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.