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Finding the Third Proportional to 106,790 and 144,806

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Solution

The third proportional to 106,790 and 144,806 is: 196,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,790 : 144,806 = 144,806 : x
  2. Step 2: Convert to fraction form
    106,790/144,806 = 144,806/x
  3. Step 3: Cross multiply
    106,790x = 144,806 × 144,806
  4. Step 4: Simplify right side
    106,790x = 20,968,777,636
  5. Step 5: Solve for x
    x = 20,968,777,636/106,790
  6. Step 6: Final answer
    x = 196,355.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.