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Finding the Third Proportional to 117,234 and 181,642

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Solution

The third proportional to 117,234 and 181,642 is: 281,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,234 : 181,642 = 181,642 : x
  2. Step 2: Convert to fraction form
    117,234/181,642 = 181,642/x
  3. Step 3: Cross multiply
    117,234x = 181,642 × 181,642
  4. Step 4: Simplify right side
    117,234x = 32,993,816,164
  5. Step 5: Solve for x
    x = 32,993,816,164/117,234
  6. Step 6: Final answer
    x = 281,435.56

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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.