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Finding the Third Proportional to 110,413.13 and 169,940.53

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Solution

The third proportional to 110,413.13 and 169,940.53 is: 261,561.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,413.13 : 169,940.53 = 169,940.53 : x
  2. Step 2: Convert to fraction form
    110,413.13/169,940.53 = 169,940.53/x
  3. Step 3: Cross multiply
    110,413.13x = 169,940.53 × 169,940.53
  4. Step 4: Simplify right side
    110,413.13x = 28,879,784,161.53
  5. Step 5: Solve for x
    x = 28,879,784,161.53/110,413.13
  6. Step 6: Final answer
    x = 261,561.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.