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Finding the Third Proportional to 68,499 and 150,093

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Solution

The third proportional to 68,499 and 150,093 is: 328,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,499 : 150,093 = 150,093 : x
  2. Step 2: Convert to fraction form
    68,499/150,093 = 150,093/x
  3. Step 3: Cross multiply
    68,499x = 150,093 × 150,093
  4. Step 4: Simplify right side
    68,499x = 22,527,908,649
  5. Step 5: Solve for x
    x = 22,527,908,649/68,499
  6. Step 6: Final answer
    x = 328,879.38

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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.