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Finding the Third Proportional to 126,722.25 and 177,165.75

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Solution

The third proportional to 126,722.25 and 177,165.75 is: 247,688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,722.25 : 177,165.75 = 177,165.75 : x
  2. Step 2: Convert to fraction form
    126,722.25/177,165.75 = 177,165.75/x
  3. Step 3: Cross multiply
    126,722.25x = 177,165.75 × 177,165.75
  4. Step 4: Simplify right side
    126,722.25x = 31,387,702,973.06
  5. Step 5: Solve for x
    x = 31,387,702,973.06/126,722.25
  6. Step 6: Final answer
    x = 247,688.97

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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.