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Finding the Third Proportional to 78,949.69 and 162,541.69

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Solution

The third proportional to 78,949.69 and 162,541.69 is: 334,640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,949.69 : 162,541.69 = 162,541.69 : x
  2. Step 2: Convert to fraction form
    78,949.69/162,541.69 = 162,541.69/x
  3. Step 3: Cross multiply
    78,949.69x = 162,541.69 × 162,541.69
  4. Step 4: Simplify right side
    78,949.69x = 26,419,800,175.35
  5. Step 5: Solve for x
    x = 26,419,800,175.35/78,949.69
  6. Step 6: Final answer
    x = 334,640.97

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.