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Finding the Third Proportional to 104,306.06 and 149,350.50

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Solution

The third proportional to 104,306.06 and 149,350.50 is: 213,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,306.06 : 149,350.50 = 149,350.50 : x
  2. Step 2: Convert to fraction form
    104,306.06/149,350.50 = 149,350.50/x
  3. Step 3: Cross multiply
    104,306.06x = 149,350.50 × 149,350.50
  4. Step 4: Simplify right side
    104,306.06x = 22,305,571,850.25
  5. Step 5: Solve for x
    x = 22,305,571,850.25/104,306.06
  6. Step 6: Final answer
    x = 213,847.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.