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Finding the Third Proportional to 100,343 and 154,925

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Solution

The third proportional to 100,343 and 154,925 is: 239,197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,343 : 154,925 = 154,925 : x
  2. Step 2: Convert to fraction form
    100,343/154,925 = 154,925/x
  3. Step 3: Cross multiply
    100,343x = 154,925 × 154,925
  4. Step 4: Simplify right side
    100,343x = 24,001,755,625
  5. Step 5: Solve for x
    x = 24,001,755,625/100,343
  6. Step 6: Final answer
    x = 239,197.11

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.