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Finding the Third Proportional to 91,914.75 and 126,571.75

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Solution

The third proportional to 91,914.75 and 126,571.75 is: 174,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,914.75 : 126,571.75 = 126,571.75 : x
  2. Step 2: Convert to fraction form
    91,914.75/126,571.75 = 126,571.75/x
  3. Step 3: Cross multiply
    91,914.75x = 126,571.75 × 126,571.75
  4. Step 4: Simplify right side
    91,914.75x = 16,020,407,898.06
  5. Step 5: Solve for x
    x = 16,020,407,898.06/91,914.75
  6. Step 6: Final answer
    x = 174,296.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.