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Finding the Third Proportional to 122,526 and 195,093

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Solution

The third proportional to 122,526 and 195,093 is: 310,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,526 : 195,093 = 195,093 : x
  2. Step 2: Convert to fraction form
    122,526/195,093 = 195,093/x
  3. Step 3: Cross multiply
    122,526x = 195,093 × 195,093
  4. Step 4: Simplify right side
    122,526x = 38,061,278,649
  5. Step 5: Solve for x
    x = 38,061,278,649/122,526
  6. Step 6: Final answer
    x = 310,638.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.