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Finding the Third Proportional to 116,753 and 181,149

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Solution

The third proportional to 116,753 and 181,149 is: 281,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,753 : 181,149 = 181,149 : x
  2. Step 2: Convert to fraction form
    116,753/181,149 = 181,149/x
  3. Step 3: Cross multiply
    116,753x = 181,149 × 181,149
  4. Step 4: Simplify right side
    116,753x = 32,814,960,201
  5. Step 5: Solve for x
    x = 32,814,960,201/116,753
  6. Step 6: Final answer
    x = 281,063.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.