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Finding the Third Proportional to 73,974.09 and 161,786.53

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Solution

The third proportional to 73,974.09 and 161,786.53 is: 353,838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,974.09 : 161,786.53 = 161,786.53 : x
  2. Step 2: Convert to fraction form
    73,974.09/161,786.53 = 161,786.53/x
  3. Step 3: Cross multiply
    73,974.09x = 161,786.53 × 161,786.53
  4. Step 4: Simplify right side
    73,974.09x = 26,174,881,693.91
  5. Step 5: Solve for x
    x = 26,174,881,693.91/73,974.09
  6. Step 6: Final answer
    x = 353,838.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.