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Finding the Third Proportional to 98,800 and 144,474

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Solution

The third proportional to 98,800 and 144,474 is: 211,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,800 : 144,474 = 144,474 : x
  2. Step 2: Convert to fraction form
    98,800/144,474 = 144,474/x
  3. Step 3: Cross multiply
    98,800x = 144,474 × 144,474
  4. Step 4: Simplify right side
    98,800x = 20,872,736,676
  5. Step 5: Solve for x
    x = 20,872,736,676/98,800
  6. Step 6: Final answer
    x = 211,262.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.