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Finding the Third Proportional to 102,920 and 154,626

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Solution

The third proportional to 102,920 and 154,626 is: 232,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,920 : 154,626 = 154,626 : x
  2. Step 2: Convert to fraction form
    102,920/154,626 = 154,626/x
  3. Step 3: Cross multiply
    102,920x = 154,626 × 154,626
  4. Step 4: Simplify right side
    102,920x = 23,909,199,876
  5. Step 5: Solve for x
    x = 23,909,199,876/102,920
  6. Step 6: Final answer
    x = 232,308.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.