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Finding the Third Proportional to 49,474.69 and 116,670.94

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Solution

The third proportional to 49,474.69 and 116,670.94 is: 275,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,474.69 : 116,670.94 = 116,670.94 : x
  2. Step 2: Convert to fraction form
    49,474.69/116,670.94 = 116,670.94/x
  3. Step 3: Cross multiply
    49,474.69x = 116,670.94 × 116,670.94
  4. Step 4: Simplify right side
    49,474.69x = 13,612,107,657.13
  5. Step 5: Solve for x
    x = 13,612,107,657.13/49,474.69
  6. Step 6: Final answer
    x = 275,132.77

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.