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Finding the Third Proportional to 137,800.50 and 195,037.50

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Solution

The third proportional to 137,800.50 and 195,037.50 is: 276,048.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,800.50 : 195,037.50 = 195,037.50 : x
  2. Step 2: Convert to fraction form
    137,800.50/195,037.50 = 195,037.50/x
  3. Step 3: Cross multiply
    137,800.50x = 195,037.50 × 195,037.50
  4. Step 4: Simplify right side
    137,800.50x = 38,039,626,406.25
  5. Step 5: Solve for x
    x = 38,039,626,406.25/137,800.50
  6. Step 6: Final answer
    x = 276,048.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.