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Finding the Third Proportional to 121,573.25 and 195,333.75

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Solution

The third proportional to 121,573.25 and 195,333.75 is: 313,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,573.25 : 195,333.75 = 195,333.75 : x
  2. Step 2: Convert to fraction form
    121,573.25/195,333.75 = 195,333.75/x
  3. Step 3: Cross multiply
    121,573.25x = 195,333.75 × 195,333.75
  4. Step 4: Simplify right side
    121,573.25x = 38,155,273,889.06
  5. Step 5: Solve for x
    x = 38,155,273,889.06/121,573.25
  6. Step 6: Final answer
    x = 313,845.96

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.