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Finding the Third Proportional to 132,872 and 194,192

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Solution

The third proportional to 132,872 and 194,192 is: 283,810.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,872 : 194,192 = 194,192 : x
  2. Step 2: Convert to fraction form
    132,872/194,192 = 194,192/x
  3. Step 3: Cross multiply
    132,872x = 194,192 × 194,192
  4. Step 4: Simplify right side
    132,872x = 37,710,532,864
  5. Step 5: Solve for x
    x = 37,710,532,864/132,872
  6. Step 6: Final answer
    x = 283,810.98

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