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Finding the Third Proportional to 73,815.75 and 114,517.13

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Solution

The third proportional to 73,815.75 and 114,517.13 is: 177,660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,815.75 : 114,517.13 = 114,517.13 : x
  2. Step 2: Convert to fraction form
    73,815.75/114,517.13 = 114,517.13/x
  3. Step 3: Cross multiply
    73,815.75x = 114,517.13 × 114,517.13
  4. Step 4: Simplify right side
    73,815.75x = 13,114,171,918.27
  5. Step 5: Solve for x
    x = 13,114,171,918.27/73,815.75
  6. Step 6: Final answer
    x = 177,660.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.