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Finding the Third Proportional to 117,100.69 and 252,856.69

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Solution

The third proportional to 117,100.69 and 252,856.69 is: 545,995.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,100.69 : 252,856.69 = 252,856.69 : x
  2. Step 2: Convert to fraction form
    117,100.69/252,856.69 = 252,856.69/x
  3. Step 3: Cross multiply
    117,100.69x = 252,856.69 × 252,856.69
  4. Step 4: Simplify right side
    117,100.69x = 63,936,504,413.47
  5. Step 5: Solve for x
    x = 63,936,504,413.47/117,100.69
  6. Step 6: Final answer
    x = 545,995.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.