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Finding the Third Proportional to 68,200 and 148,063

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Solution

The third proportional to 68,200 and 148,063 is: 321,446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,200 : 148,063 = 148,063 : x
  2. Step 2: Convert to fraction form
    68,200/148,063 = 148,063/x
  3. Step 3: Cross multiply
    68,200x = 148,063 × 148,063
  4. Step 4: Simplify right side
    68,200x = 21,922,651,969
  5. Step 5: Solve for x
    x = 21,922,651,969/68,200
  6. Step 6: Final answer
    x = 321,446.51

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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.