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Finding the Third Proportional to 76,141.69 and 116,003.81

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Solution

The third proportional to 76,141.69 and 116,003.81 is: 176,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,141.69 : 116,003.81 = 116,003.81 : x
  2. Step 2: Convert to fraction form
    76,141.69/116,003.81 = 116,003.81/x
  3. Step 3: Cross multiply
    76,141.69x = 116,003.81 × 116,003.81
  4. Step 4: Simplify right side
    76,141.69x = 13,456,884,514.54
  5. Step 5: Solve for x
    x = 13,456,884,514.54/76,141.69
  6. Step 6: Final answer
    x = 176,734.78

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