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Finding the Third Proportional to 139,056.75 and 194,379.75

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Solution

The third proportional to 139,056.75 and 194,379.75 is: 271,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,056.75 : 194,379.75 = 194,379.75 : x
  2. Step 2: Convert to fraction form
    139,056.75/194,379.75 = 194,379.75/x
  3. Step 3: Cross multiply
    139,056.75x = 194,379.75 × 194,379.75
  4. Step 4: Simplify right side
    139,056.75x = 37,783,487,210.06
  5. Step 5: Solve for x
    x = 37,783,487,210.06/139,056.75
  6. Step 6: Final answer
    x = 271,712.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.