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Finding the Third Proportional to 118,405 and 181,131

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Solution

The third proportional to 118,405 and 181,131 is: 277,086.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,405 : 181,131 = 181,131 : x
  2. Step 2: Convert to fraction form
    118,405/181,131 = 181,131/x
  3. Step 3: Cross multiply
    118,405x = 181,131 × 181,131
  4. Step 4: Simplify right side
    118,405x = 32,808,439,161
  5. Step 5: Solve for x
    x = 32,808,439,161/118,405
  6. Step 6: Final answer
    x = 277,086.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.