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Finding the Third Proportional to 90,431.44 and 132,941.25

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Solution

The third proportional to 90,431.44 and 132,941.25 is: 195,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,431.44 : 132,941.25 = 132,941.25 : x
  2. Step 2: Convert to fraction form
    90,431.44/132,941.25 = 132,941.25/x
  3. Step 3: Cross multiply
    90,431.44x = 132,941.25 × 132,941.25
  4. Step 4: Simplify right side
    90,431.44x = 17,673,375,951.56
  5. Step 5: Solve for x
    x = 17,673,375,951.56/90,431.44
  6. Step 6: Final answer
    x = 195,433.98

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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.