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Finding the Third Proportional to 72,794 and 103,116

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Solution

The third proportional to 72,794 and 103,116 is: 146,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,794 : 103,116 = 103,116 : x
  2. Step 2: Convert to fraction form
    72,794/103,116 = 103,116/x
  3. Step 3: Cross multiply
    72,794x = 103,116 × 103,116
  4. Step 4: Simplify right side
    72,794x = 10,632,909,456
  5. Step 5: Solve for x
    x = 10,632,909,456/72,794
  6. Step 6: Final answer
    x = 146,068.49

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.