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Finding the Third Proportional to 77,761.50 and 182,091.75

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Solution

The third proportional to 77,761.50 and 182,091.75 is: 426,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,761.50 : 182,091.75 = 182,091.75 : x
  2. Step 2: Convert to fraction form
    77,761.50/182,091.75 = 182,091.75/x
  3. Step 3: Cross multiply
    77,761.50x = 182,091.75 × 182,091.75
  4. Step 4: Simplify right side
    77,761.50x = 33,157,405,418.06
  5. Step 5: Solve for x
    x = 33,157,405,418.06/77,761.50
  6. Step 6: Final answer
    x = 426,398.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.