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Finding the Third Proportional to 132,996 and 194,539

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Solution

The third proportional to 132,996 and 194,539 is: 284,560.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,996 : 194,539 = 194,539 : x
  2. Step 2: Convert to fraction form
    132,996/194,539 = 194,539/x
  3. Step 3: Cross multiply
    132,996x = 194,539 × 194,539
  4. Step 4: Simplify right side
    132,996x = 37,845,422,521
  5. Step 5: Solve for x
    x = 37,845,422,521/132,996
  6. Step 6: Final answer
    x = 284,560.61

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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.