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Finding the Third Proportional to 76,727.81 and 166,737.09

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Solution

The third proportional to 76,727.81 and 166,737.09 is: 362,336.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,727.81 : 166,737.09 = 166,737.09 : x
  2. Step 2: Convert to fraction form
    76,727.81/166,737.09 = 166,737.09/x
  3. Step 3: Cross multiply
    76,727.81x = 166,737.09 × 166,737.09
  4. Step 4: Simplify right side
    76,727.81x = 27,801,258,432.20
  5. Step 5: Solve for x
    x = 27,801,258,432.20/76,727.81
  6. Step 6: Final answer
    x = 362,336.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.