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Finding the Third Proportional to 71,625.38 and 157,022.44

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Solution

The third proportional to 71,625.38 and 157,022.44 is: 344,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,625.38 : 157,022.44 = 157,022.44 : x
  2. Step 2: Convert to fraction form
    71,625.38/157,022.44 = 157,022.44/x
  3. Step 3: Cross multiply
    71,625.38x = 157,022.44 × 157,022.44
  4. Step 4: Simplify right side
    71,625.38x = 24,656,045,878.44
  5. Step 5: Solve for x
    x = 24,656,045,878.44/71,625.38
  6. Step 6: Final answer
    x = 344,236.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.