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Finding the Third Proportional to 110,413.13 and 171,284.63

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Solution

The third proportional to 110,413.13 and 171,284.63 is: 265,714.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,413.13 : 171,284.63 = 171,284.63 : x
  2. Step 2: Convert to fraction form
    110,413.13/171,284.63 = 171,284.63/x
  3. Step 3: Cross multiply
    110,413.13x = 171,284.63 × 171,284.63
  4. Step 4: Simplify right side
    110,413.13x = 29,338,422,761.39
  5. Step 5: Solve for x
    x = 29,338,422,761.39/110,413.13
  6. Step 6: Final answer
    x = 265,714.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.