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Finding the Third Proportional to 106,454 and 164,806

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Solution

The third proportional to 106,454 and 164,806 is: 255,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,454 : 164,806 = 164,806 : x
  2. Step 2: Convert to fraction form
    106,454/164,806 = 164,806/x
  3. Step 3: Cross multiply
    106,454x = 164,806 × 164,806
  4. Step 4: Simplify right side
    106,454x = 27,161,017,636
  5. Step 5: Solve for x
    x = 27,161,017,636/106,454
  6. Step 6: Final answer
    x = 255,143.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.