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Finding the Third Proportional to 119,989.13 and 182,413.69

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Solution

The third proportional to 119,989.13 and 182,413.69 is: 277,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,989.13 : 182,413.69 = 182,413.69 : x
  2. Step 2: Convert to fraction form
    119,989.13/182,413.69 = 182,413.69/x
  3. Step 3: Cross multiply
    119,989.13x = 182,413.69 × 182,413.69
  4. Step 4: Simplify right side
    119,989.13x = 33,274,753,387.35
  5. Step 5: Solve for x
    x = 33,274,753,387.35/119,989.13
  6. Step 6: Final answer
    x = 277,314.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.