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Finding the Third Proportional to 134,924 and 194,925

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Solution

The third proportional to 134,924 and 194,925 is: 281,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,924 : 194,925 = 194,925 : x
  2. Step 2: Convert to fraction form
    134,924/194,925 = 194,925/x
  3. Step 3: Cross multiply
    134,924x = 194,925 × 194,925
  4. Step 4: Simplify right side
    134,924x = 37,995,755,625
  5. Step 5: Solve for x
    x = 37,995,755,625/134,924
  6. Step 6: Final answer
    x = 281,608.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.