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Finding the Third Proportional to 125,456 and 195,806

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Solution

The third proportional to 125,456 and 195,806 is: 305,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,456 : 195,806 = 195,806 : x
  2. Step 2: Convert to fraction form
    125,456/195,806 = 195,806/x
  3. Step 3: Cross multiply
    125,456x = 195,806 × 195,806
  4. Step 4: Simplify right side
    125,456x = 38,339,989,636
  5. Step 5: Solve for x
    x = 38,339,989,636/125,456
  6. Step 6: Final answer
    x = 305,605.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.