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Finding the Third Proportional to 96,562.13 and 133,634.81

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Solution

The third proportional to 96,562.13 and 133,634.81 is: 184,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,562.13 : 133,634.81 = 133,634.81 : x
  2. Step 2: Convert to fraction form
    96,562.13/133,634.81 = 133,634.81/x
  3. Step 3: Cross multiply
    96,562.13x = 133,634.81 × 133,634.81
  4. Step 4: Simplify right side
    96,562.13x = 17,858,263,111.91
  5. Step 5: Solve for x
    x = 17,858,263,111.91/96,562.13
  6. Step 6: Final answer
    x = 184,940.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.