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Finding the Third Proportional to 50,866.73 and 80,607.66

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Solution

The third proportional to 50,866.73 and 80,607.66 is: 127,737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,866.73 : 80,607.66 = 80,607.66 : x
  2. Step 2: Convert to fraction form
    50,866.73/80,607.66 = 80,607.66/x
  3. Step 3: Cross multiply
    50,866.73x = 80,607.66 × 80,607.66
  4. Step 4: Simplify right side
    50,866.73x = 6,497,594,246.12
  5. Step 5: Solve for x
    x = 6,497,594,246.12/50,866.73
  6. Step 6: Final answer
    x = 127,737.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.