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Finding the Third Proportional to 129,273.75 and 193,133.25

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Solution

The third proportional to 129,273.75 and 193,133.25 is: 288,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,273.75 : 193,133.25 = 193,133.25 : x
  2. Step 2: Convert to fraction form
    129,273.75/193,133.25 = 193,133.25/x
  3. Step 3: Cross multiply
    129,273.75x = 193,133.25 × 193,133.25
  4. Step 4: Simplify right side
    129,273.75x = 37,300,452,255.56
  5. Step 5: Solve for x
    x = 37,300,452,255.56/129,273.75
  6. Step 6: Final answer
    x = 288,538.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.