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Finding the Third Proportional to 126,092.25 and 195,229.13

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Solution

The third proportional to 126,092.25 and 195,229.13 is: 302,274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,092.25 : 195,229.13 = 195,229.13 : x
  2. Step 2: Convert to fraction form
    126,092.25/195,229.13 = 195,229.13/x
  3. Step 3: Cross multiply
    126,092.25x = 195,229.13 × 195,229.13
  4. Step 4: Simplify right side
    126,092.25x = 38,114,411,248.27
  5. Step 5: Solve for x
    x = 38,114,411,248.27/126,092.25
  6. Step 6: Final answer
    x = 302,274.02

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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.