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Finding the Third Proportional to 79,544.25 and 171,542.25

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Solution

The third proportional to 79,544.25 and 171,542.25 is: 369,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,544.25 : 171,542.25 = 171,542.25 : x
  2. Step 2: Convert to fraction form
    79,544.25/171,542.25 = 171,542.25/x
  3. Step 3: Cross multiply
    79,544.25x = 171,542.25 × 171,542.25
  4. Step 4: Simplify right side
    79,544.25x = 29,426,743,535.06
  5. Step 5: Solve for x
    x = 29,426,743,535.06/79,544.25
  6. Step 6: Final answer
    x = 369,941.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.