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Finding the Third Proportional to 106,742 and 154,605

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Solution

The third proportional to 106,742 and 154,605 is: 223,929.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,742 : 154,605 = 154,605 : x
  2. Step 2: Convert to fraction form
    106,742/154,605 = 154,605/x
  3. Step 3: Cross multiply
    106,742x = 154,605 × 154,605
  4. Step 4: Simplify right side
    106,742x = 23,902,706,025
  5. Step 5: Solve for x
    x = 23,902,706,025/106,742
  6. Step 6: Final answer
    x = 223,929.72

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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.