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Finding the Third Proportional to 132,413.06 and 188,697.09

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Solution

The third proportional to 132,413.06 and 188,697.09 is: 268,905.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,413.06 : 188,697.09 = 188,697.09 : x
  2. Step 2: Convert to fraction form
    132,413.06/188,697.09 = 188,697.09/x
  3. Step 3: Cross multiply
    132,413.06x = 188,697.09 × 188,697.09
  4. Step 4: Simplify right side
    132,413.06x = 35,606,593,189.70
  5. Step 5: Solve for x
    x = 35,606,593,189.70/132,413.06
  6. Step 6: Final answer
    x = 268,905.44

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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.