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Finding the Third Proportional to 121,959 and 194,231.25

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Solution

The third proportional to 121,959 and 194,231.25 is: 309,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,959 : 194,231.25 = 194,231.25 : x
  2. Step 2: Convert to fraction form
    121,959/194,231.25 = 194,231.25/x
  3. Step 3: Cross multiply
    121,959x = 194,231.25 × 194,231.25
  4. Step 4: Simplify right side
    121,959x = 37,725,778,476.56
  5. Step 5: Solve for x
    x = 37,725,778,476.56/121,959
  6. Step 6: Final answer
    x = 309,331.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.