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Finding the Third Proportional to 115,166.81 and 177,670.97

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Solution

The third proportional to 115,166.81 and 177,670.97 is: 274,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,166.81 : 177,670.97 = 177,670.97 : x
  2. Step 2: Convert to fraction form
    115,166.81/177,670.97 = 177,670.97/x
  3. Step 3: Cross multiply
    115,166.81x = 177,670.97 × 177,670.97
  4. Step 4: Simplify right side
    115,166.81x = 31,566,973,136.56
  5. Step 5: Solve for x
    x = 31,566,973,136.56/115,166.81
  6. Step 6: Final answer
    x = 274,097.83

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.