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Finding the Third Proportional to 121,834.50 and 182,751.75

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Solution

The third proportional to 121,834.50 and 182,751.75 is: 274,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,834.50 : 182,751.75 = 182,751.75 : x
  2. Step 2: Convert to fraction form
    121,834.50/182,751.75 = 182,751.75/x
  3. Step 3: Cross multiply
    121,834.50x = 182,751.75 × 182,751.75
  4. Step 4: Simplify right side
    121,834.50x = 33,398,202,128.06
  5. Step 5: Solve for x
    x = 33,398,202,128.06/121,834.50
  6. Step 6: Final answer
    x = 274,127.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.