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Finding the Third Proportional to 137,567 and 197,593

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Solution

The third proportional to 137,567 and 197,593 is: 283,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,567 : 197,593 = 197,593 : x
  2. Step 2: Convert to fraction form
    137,567/197,593 = 197,593/x
  3. Step 3: Cross multiply
    137,567x = 197,593 × 197,593
  4. Step 4: Simplify right side
    137,567x = 39,042,993,649
  5. Step 5: Solve for x
    x = 39,042,993,649/137,567
  6. Step 6: Final answer
    x = 283,810.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.