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Finding the Third Proportional to 80,463.94 and 118,232.44

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Solution

The third proportional to 80,463.94 and 118,232.44 is: 173,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,463.94 : 118,232.44 = 118,232.44 : x
  2. Step 2: Convert to fraction form
    80,463.94/118,232.44 = 118,232.44/x
  3. Step 3: Cross multiply
    80,463.94x = 118,232.44 × 118,232.44
  4. Step 4: Simplify right side
    80,463.94x = 13,978,909,277.19
  5. Step 5: Solve for x
    x = 13,978,909,277.19/80,463.94
  6. Step 6: Final answer
    x = 173,728.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.