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Finding the Third Proportional to 96,246 and 144,223

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Solution

The third proportional to 96,246 and 144,223 is: 216,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,246 : 144,223 = 144,223 : x
  2. Step 2: Convert to fraction form
    96,246/144,223 = 144,223/x
  3. Step 3: Cross multiply
    96,246x = 144,223 × 144,223
  4. Step 4: Simplify right side
    96,246x = 20,800,273,729
  5. Step 5: Solve for x
    x = 20,800,273,729/96,246
  6. Step 6: Final answer
    x = 216,115.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.