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Finding the Third Proportional to 137,576.44 and 205,732.13

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Solution

The third proportional to 137,576.44 and 205,732.13 is: 307,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,576.44 : 205,732.13 = 205,732.13 : x
  2. Step 2: Convert to fraction form
    137,576.44/205,732.13 = 205,732.13/x
  3. Step 3: Cross multiply
    137,576.44x = 205,732.13 × 205,732.13
  4. Step 4: Simplify right side
    137,576.44x = 42,325,707,257.02
  5. Step 5: Solve for x
    x = 42,325,707,257.02/137,576.44
  6. Step 6: Final answer
    x = 307,652.30

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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.