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Finding the Third Proportional to 96,134 and 143,404

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Solution

The third proportional to 96,134 and 143,404 is: 213,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,134 : 143,404 = 143,404 : x
  2. Step 2: Convert to fraction form
    96,134/143,404 = 143,404/x
  3. Step 3: Cross multiply
    96,134x = 143,404 × 143,404
  4. Step 4: Simplify right side
    96,134x = 20,564,707,216
  5. Step 5: Solve for x
    x = 20,564,707,216/96,134
  6. Step 6: Final answer
    x = 213,917.11

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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.