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Finding the Third Proportional to 96,737 and 137,005

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Solution

The third proportional to 96,737 and 137,005 is: 194,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,737 : 137,005 = 137,005 : x
  2. Step 2: Convert to fraction form
    96,737/137,005 = 137,005/x
  3. Step 3: Cross multiply
    96,737x = 137,005 × 137,005
  4. Step 4: Simplify right side
    96,737x = 18,770,370,025
  5. Step 5: Solve for x
    x = 18,770,370,025/96,737
  6. Step 6: Final answer
    x = 194,035.06

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