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Finding the Third Proportional to 92,142.75 and 194,124.75

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Solution

The third proportional to 92,142.75 and 194,124.75 is: 408,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,142.75 : 194,124.75 = 194,124.75 : x
  2. Step 2: Convert to fraction form
    92,142.75/194,124.75 = 194,124.75/x
  3. Step 3: Cross multiply
    92,142.75x = 194,124.75 × 194,124.75
  4. Step 4: Simplify right side
    92,142.75x = 37,684,418,562.56
  5. Step 5: Solve for x
    x = 37,684,418,562.56/92,142.75
  6. Step 6: Final answer
    x = 408,978.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.