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Finding the Third Proportional to 68,198.06 and 148,200.75

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Solution

The third proportional to 68,198.06 and 148,200.75 is: 322,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,198.06 : 148,200.75 = 148,200.75 : x
  2. Step 2: Convert to fraction form
    68,198.06/148,200.75 = 148,200.75/x
  3. Step 3: Cross multiply
    68,198.06x = 148,200.75 × 148,200.75
  4. Step 4: Simplify right side
    68,198.06x = 21,963,462,300.56
  5. Step 5: Solve for x
    x = 21,963,462,300.56/68,198.06
  6. Step 6: Final answer
    x = 322,054.05

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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.