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Finding the Third Proportional to 68,021.44 and 147,694.50

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Solution

The third proportional to 68,021.44 and 147,694.50 is: 320,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,021.44 : 147,694.50 = 147,694.50 : x
  2. Step 2: Convert to fraction form
    68,021.44/147,694.50 = 147,694.50/x
  3. Step 3: Cross multiply
    68,021.44x = 147,694.50 × 147,694.50
  4. Step 4: Simplify right side
    68,021.44x = 21,813,665,330.25
  5. Step 5: Solve for x
    x = 21,813,665,330.25/68,021.44
  6. Step 6: Final answer
    x = 320,688.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.