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Finding the Third Proportional to 117,764 and 181,939

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Solution

The third proportional to 117,764 and 181,939 is: 281,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,764 : 181,939 = 181,939 : x
  2. Step 2: Convert to fraction form
    117,764/181,939 = 181,939/x
  3. Step 3: Cross multiply
    117,764x = 181,939 × 181,939
  4. Step 4: Simplify right side
    117,764x = 33,101,799,721
  5. Step 5: Solve for x
    x = 33,101,799,721/117,764
  6. Step 6: Final answer
    x = 281,085.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.