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Finding the Third Proportional to 125,022 and 193,638

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Solution

The third proportional to 125,022 and 193,638 is: 299,912.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,022 : 193,638 = 193,638 : x
  2. Step 2: Convert to fraction form
    125,022/193,638 = 193,638/x
  3. Step 3: Cross multiply
    125,022x = 193,638 × 193,638
  4. Step 4: Simplify right side
    125,022x = 37,495,675,044
  5. Step 5: Solve for x
    x = 37,495,675,044/125,022
  6. Step 6: Final answer
    x = 299,912.62

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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.