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Finding the Third Proportional to 131,884 and 194,928

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Solution

The third proportional to 131,884 and 194,928 is: 288,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,884 : 194,928 = 194,928 : x
  2. Step 2: Convert to fraction form
    131,884/194,928 = 194,928/x
  3. Step 3: Cross multiply
    131,884x = 194,928 × 194,928
  4. Step 4: Simplify right side
    131,884x = 37,996,925,184
  5. Step 5: Solve for x
    x = 37,996,925,184/131,884
  6. Step 6: Final answer
    x = 288,108.68

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.