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Finding the Third Proportional to 74,751 and 115,863

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Solution

The third proportional to 74,751 and 115,863 is: 179,586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,751 : 115,863 = 115,863 : x
  2. Step 2: Convert to fraction form
    74,751/115,863 = 115,863/x
  3. Step 3: Cross multiply
    74,751x = 115,863 × 115,863
  4. Step 4: Simplify right side
    74,751x = 13,424,234,769
  5. Step 5: Solve for x
    x = 13,424,234,769/74,751
  6. Step 6: Final answer
    x = 179,586.02

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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.