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Finding the Third Proportional to 99,147 and 148,941

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Solution

The third proportional to 99,147 and 148,941 is: 223,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,147 : 148,941 = 148,941 : x
  2. Step 2: Convert to fraction form
    99,147/148,941 = 148,941/x
  3. Step 3: Cross multiply
    99,147x = 148,941 × 148,941
  4. Step 4: Simplify right side
    99,147x = 22,183,421,481
  5. Step 5: Solve for x
    x = 22,183,421,481/99,147
  6. Step 6: Final answer
    x = 223,742.74

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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.