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Finding the Third Proportional to 99,898 and 140,524

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Solution

The third proportional to 99,898 and 140,524 is: 197,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,898 : 140,524 = 140,524 : x
  2. Step 2: Convert to fraction form
    99,898/140,524 = 140,524/x
  3. Step 3: Cross multiply
    99,898x = 140,524 × 140,524
  4. Step 4: Simplify right side
    99,898x = 19,746,994,576
  5. Step 5: Solve for x
    x = 19,746,994,576/99,898
  6. Step 6: Final answer
    x = 197,671.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.