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Finding the Third Proportional to 137,006.02 and 204,951.94

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Solution

The third proportional to 137,006.02 and 204,951.94 is: 306,594.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,006.02 : 204,951.94 = 204,951.94 : x
  2. Step 2: Convert to fraction form
    137,006.02/204,951.94 = 204,951.94/x
  3. Step 3: Cross multiply
    137,006.02x = 204,951.94 × 204,951.94
  4. Step 4: Simplify right side
    137,006.02x = 42,005,296,685.00
  5. Step 5: Solve for x
    x = 42,005,296,685.00/137,006.02
  6. Step 6: Final answer
    x = 306,594.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.