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Finding the Third Proportional to 75,954.38 and 117,912.38

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Solution

The third proportional to 75,954.38 and 117,912.38 is: 183,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,954.38 : 117,912.38 = 117,912.38 : x
  2. Step 2: Convert to fraction form
    75,954.38/117,912.38 = 117,912.38/x
  3. Step 3: Cross multiply
    75,954.38x = 117,912.38 × 117,912.38
  4. Step 4: Simplify right side
    75,954.38x = 13,903,328,178.14
  5. Step 5: Solve for x
    x = 13,903,328,178.14/75,954.38
  6. Step 6: Final answer
    x = 183,048.42

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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.