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Finding the Third Proportional to 73,416.94 and 116,821.69

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Solution

The third proportional to 73,416.94 and 116,821.69 is: 185,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,416.94 : 116,821.69 = 116,821.69 : x
  2. Step 2: Convert to fraction form
    73,416.94/116,821.69 = 116,821.69/x
  3. Step 3: Cross multiply
    73,416.94x = 116,821.69 × 116,821.69
  4. Step 4: Simplify right side
    73,416.94x = 13,647,306,670.35
  5. Step 5: Solve for x
    x = 13,647,306,670.35/73,416.94
  6. Step 6: Final answer
    x = 185,887.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.