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Finding the Third Proportional to 68,800.13 and 145,060.50

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Solution

The third proportional to 68,800.13 and 145,060.50 is: 305,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,800.13 : 145,060.50 = 145,060.50 : x
  2. Step 2: Convert to fraction form
    68,800.13/145,060.50 = 145,060.50/x
  3. Step 3: Cross multiply
    68,800.13x = 145,060.50 × 145,060.50
  4. Step 4: Simplify right side
    68,800.13x = 21,042,548,660.25
  5. Step 5: Solve for x
    x = 21,042,548,660.25/68,800.13
  6. Step 6: Final answer
    x = 305,850.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.