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Finding the Third Proportional to 60,906.09 and 146,729.81

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Solution

The third proportional to 60,906.09 and 146,729.81 is: 353,489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,906.09 : 146,729.81 = 146,729.81 : x
  2. Step 2: Convert to fraction form
    60,906.09/146,729.81 = 146,729.81/x
  3. Step 3: Cross multiply
    60,906.09x = 146,729.81 × 146,729.81
  4. Step 4: Simplify right side
    60,906.09x = 21,529,637,876.29
  5. Step 5: Solve for x
    x = 21,529,637,876.29/60,906.09
  6. Step 6: Final answer
    x = 353,489.06

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.