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Finding the Third Proportional to 39,154 and 84,626

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Solution

The third proportional to 39,154 and 84,626 is: 182,907.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,154 : 84,626 = 84,626 : x
  2. Step 2: Convert to fraction form
    39,154/84,626 = 84,626/x
  3. Step 3: Cross multiply
    39,154x = 84,626 × 84,626
  4. Step 4: Simplify right side
    39,154x = 7,161,559,876
  5. Step 5: Solve for x
    x = 7,161,559,876/39,154
  6. Step 6: Final answer
    x = 182,907.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.