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Finding the Third Proportional to 121,516.88 and 166,871.81

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Solution

The third proportional to 121,516.88 and 166,871.81 is: 229,155.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,516.88 : 166,871.81 = 166,871.81 : x
  2. Step 2: Convert to fraction form
    121,516.88/166,871.81 = 166,871.81/x
  3. Step 3: Cross multiply
    121,516.88x = 166,871.81 × 166,871.81
  4. Step 4: Simplify right side
    121,516.88x = 27,846,201,807.04
  5. Step 5: Solve for x
    x = 27,846,201,807.04/121,516.88
  6. Step 6: Final answer
    x = 229,155.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.