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Finding the Third Proportional to 128,992.50 and 195,435.75

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Solution

The third proportional to 128,992.50 and 195,435.75 is: 296,103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,992.50 : 195,435.75 = 195,435.75 : x
  2. Step 2: Convert to fraction form
    128,992.50/195,435.75 = 195,435.75/x
  3. Step 3: Cross multiply
    128,992.50x = 195,435.75 × 195,435.75
  4. Step 4: Simplify right side
    128,992.50x = 38,195,132,378.06
  5. Step 5: Solve for x
    x = 38,195,132,378.06/128,992.50
  6. Step 6: Final answer
    x = 296,103.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.