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Finding the Third Proportional to 79,352 and 116,824

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Solution

The third proportional to 79,352 and 116,824 is: 171,991.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,352 : 116,824 = 116,824 : x
  2. Step 2: Convert to fraction form
    79,352/116,824 = 116,824/x
  3. Step 3: Cross multiply
    79,352x = 116,824 × 116,824
  4. Step 4: Simplify right side
    79,352x = 13,647,846,976
  5. Step 5: Solve for x
    x = 13,647,846,976/79,352
  6. Step 6: Final answer
    x = 171,991.22

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.