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Finding the Third Proportional to 99,423 and 147,204

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Solution

The third proportional to 99,423 and 147,204 is: 217,947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,423 : 147,204 = 147,204 : x
  2. Step 2: Convert to fraction form
    99,423/147,204 = 147,204/x
  3. Step 3: Cross multiply
    99,423x = 147,204 × 147,204
  4. Step 4: Simplify right side
    99,423x = 21,669,017,616
  5. Step 5: Solve for x
    x = 21,669,017,616/99,423
  6. Step 6: Final answer
    x = 217,947.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.