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Finding the Third Proportional to 96,408 and 144,100

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Solution

The third proportional to 96,408 and 144,100 is: 215,384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,408 : 144,100 = 144,100 : x
  2. Step 2: Convert to fraction form
    96,408/144,100 = 144,100/x
  3. Step 3: Cross multiply
    96,408x = 144,100 × 144,100
  4. Step 4: Simplify right side
    96,408x = 20,764,810,000
  5. Step 5: Solve for x
    x = 20,764,810,000/96,408
  6. Step 6: Final answer
    x = 215,384.72

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Why These Related Problems?

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