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Finding the Third Proportional to 79,764 and 116,184

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Solution

The third proportional to 79,764 and 116,184 is: 169,233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,764 : 116,184 = 116,184 : x
  2. Step 2: Convert to fraction form
    79,764/116,184 = 116,184/x
  3. Step 3: Cross multiply
    79,764x = 116,184 × 116,184
  4. Step 4: Simplify right side
    79,764x = 13,498,721,856
  5. Step 5: Solve for x
    x = 13,498,721,856/79,764
  6. Step 6: Final answer
    x = 169,233.26

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.