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Finding the Third Proportional to 96,404 and 144,094

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Solution

The third proportional to 96,404 and 144,094 is: 215,375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,404 : 144,094 = 144,094 : x
  2. Step 2: Convert to fraction form
    96,404/144,094 = 144,094/x
  3. Step 3: Cross multiply
    96,404x = 144,094 × 144,094
  4. Step 4: Simplify right side
    96,404x = 20,763,080,836
  5. Step 5: Solve for x
    x = 20,763,080,836/96,404
  6. Step 6: Final answer
    x = 215,375.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.