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Finding the Third Proportional to 120,134 and 187,005

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Solution

The third proportional to 120,134 and 187,005 is: 291,098.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,134 : 187,005 = 187,005 : x
  2. Step 2: Convert to fraction form
    120,134/187,005 = 187,005/x
  3. Step 3: Cross multiply
    120,134x = 187,005 × 187,005
  4. Step 4: Simplify right side
    120,134x = 34,970,870,025
  5. Step 5: Solve for x
    x = 34,970,870,025/120,134
  6. Step 6: Final answer
    x = 291,098.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.