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Finding the Third Proportional to 79,770 and 123,863

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Solution

The third proportional to 79,770 and 123,863 is: 192,328.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,770 : 123,863 = 123,863 : x
  2. Step 2: Convert to fraction form
    79,770/123,863 = 123,863/x
  3. Step 3: Cross multiply
    79,770x = 123,863 × 123,863
  4. Step 4: Simplify right side
    79,770x = 15,342,042,769
  5. Step 5: Solve for x
    x = 15,342,042,769/79,770
  6. Step 6: Final answer
    x = 192,328.48

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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.