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Finding the Third Proportional to 68,263.75 and 149,649.44

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Solution

The third proportional to 68,263.75 and 149,649.44 is: 328,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,263.75 : 149,649.44 = 149,649.44 : x
  2. Step 2: Convert to fraction form
    68,263.75/149,649.44 = 149,649.44/x
  3. Step 3: Cross multiply
    68,263.75x = 149,649.44 × 149,649.44
  4. Step 4: Simplify right side
    68,263.75x = 22,394,954,144.07
  5. Step 5: Solve for x
    x = 22,394,954,144.07/68,263.75
  6. Step 6: Final answer
    x = 328,065.10

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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.