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Finding the Third Proportional to 117,319.50 and 181,743.75

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Solution

The third proportional to 117,319.50 and 181,743.75 is: 281,545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,319.50 : 181,743.75 = 181,743.75 : x
  2. Step 2: Convert to fraction form
    117,319.50/181,743.75 = 181,743.75/x
  3. Step 3: Cross multiply
    117,319.50x = 181,743.75 × 181,743.75
  4. Step 4: Simplify right side
    117,319.50x = 33,030,790,664.06
  5. Step 5: Solve for x
    x = 33,030,790,664.06/117,319.50
  6. Step 6: Final answer
    x = 281,545.61

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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.