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Finding the Third Proportional to 55,524.23 and 89,418.30

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Solution

The third proportional to 55,524.23 and 89,418.30 is: 144,002.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,524.23 : 89,418.30 = 89,418.30 : x
  2. Step 2: Convert to fraction form
    55,524.23/89,418.30 = 89,418.30/x
  3. Step 3: Cross multiply
    55,524.23x = 89,418.30 × 89,418.30
  4. Step 4: Simplify right side
    55,524.23x = 7,995,633,213.19
  5. Step 5: Solve for x
    x = 7,995,633,213.19/55,524.23
  6. Step 6: Final answer
    x = 144,002.58

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.