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Finding the Third Proportional to 139,299.75 and 195,736.50

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Solution

The third proportional to 139,299.75 and 195,736.50 is: 275,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,299.75 : 195,736.50 = 195,736.50 : x
  2. Step 2: Convert to fraction form
    139,299.75/195,736.50 = 195,736.50/x
  3. Step 3: Cross multiply
    139,299.75x = 195,736.50 × 195,736.50
  4. Step 4: Simplify right side
    139,299.75x = 38,312,777,432.25
  5. Step 5: Solve for x
    x = 38,312,777,432.25/139,299.75
  6. Step 6: Final answer
    x = 275,038.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.