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Finding the Third Proportional to 137,062 and 205,593

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Solution

The third proportional to 137,062 and 205,593 is: 308,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,062 : 205,593 = 205,593 : x
  2. Step 2: Convert to fraction form
    137,062/205,593 = 205,593/x
  3. Step 3: Cross multiply
    137,062x = 205,593 × 205,593
  4. Step 4: Simplify right side
    137,062x = 42,268,481,649
  5. Step 5: Solve for x
    x = 42,268,481,649/137,062
  6. Step 6: Final answer
    x = 308,389.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.