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Finding the Third Proportional to 49,025.72 and 75,755.49

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Solution

The third proportional to 49,025.72 and 75,755.49 is: 117,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,025.72 : 75,755.49 = 75,755.49 : x
  2. Step 2: Convert to fraction form
    49,025.72/75,755.49 = 75,755.49/x
  3. Step 3: Cross multiply
    49,025.72x = 75,755.49 × 75,755.49
  4. Step 4: Simplify right side
    49,025.72x = 5,738,893,856.77
  5. Step 5: Solve for x
    x = 5,738,893,856.77/49,025.72
  6. Step 6: Final answer
    x = 117,058.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.