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Finding the Third Proportional to 126,445.22 and 195,774.47

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Solution

The third proportional to 126,445.22 and 195,774.47 is: 303,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,445.22 : 195,774.47 = 195,774.47 : x
  2. Step 2: Convert to fraction form
    126,445.22/195,774.47 = 195,774.47/x
  3. Step 3: Cross multiply
    126,445.22x = 195,774.47 × 195,774.47
  4. Step 4: Simplify right side
    126,445.22x = 38,327,642,614.34
  5. Step 5: Solve for x
    x = 38,327,642,614.34/126,445.22
  6. Step 6: Final answer
    x = 303,116.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.