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Finding the Third Proportional to 106,717 and 154,566

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Solution

The third proportional to 106,717 and 154,566 is: 223,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,717 : 154,566 = 154,566 : x
  2. Step 2: Convert to fraction form
    106,717/154,566 = 154,566/x
  3. Step 3: Cross multiply
    106,717x = 154,566 × 154,566
  4. Step 4: Simplify right side
    106,717x = 23,890,648,356
  5. Step 5: Solve for x
    x = 23,890,648,356/106,717
  6. Step 6: Final answer
    x = 223,869.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.