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Finding the Third Proportional to 121,819.50 and 187,485.75

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Solution

The third proportional to 121,819.50 and 187,485.75 is: 288,549.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,819.50 : 187,485.75 = 187,485.75 : x
  2. Step 2: Convert to fraction form
    121,819.50/187,485.75 = 187,485.75/x
  3. Step 3: Cross multiply
    121,819.50x = 187,485.75 × 187,485.75
  4. Step 4: Simplify right side
    121,819.50x = 35,150,906,453.06
  5. Step 5: Solve for x
    x = 35,150,906,453.06/121,819.50
  6. Step 6: Final answer
    x = 288,549.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.