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Finding the Third Proportional to 117,424 and 181,896

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Solution

The third proportional to 117,424 and 181,896 is: 281,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,424 : 181,896 = 181,896 : x
  2. Step 2: Convert to fraction form
    117,424/181,896 = 181,896/x
  3. Step 3: Cross multiply
    117,424x = 181,896 × 181,896
  4. Step 4: Simplify right side
    117,424x = 33,086,154,816
  5. Step 5: Solve for x
    x = 33,086,154,816/117,424
  6. Step 6: Final answer
    x = 281,766.55

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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.