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Finding the Third Proportional to 133,074 and 194,657

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Solution

The third proportional to 133,074 and 194,657 is: 284,738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,074 : 194,657 = 194,657 : x
  2. Step 2: Convert to fraction form
    133,074/194,657 = 194,657/x
  3. Step 3: Cross multiply
    133,074x = 194,657 × 194,657
  4. Step 4: Simplify right side
    133,074x = 37,891,347,649
  5. Step 5: Solve for x
    x = 37,891,347,649/133,074
  6. Step 6: Final answer
    x = 284,738.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.