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Finding the Third Proportional to 67,620 and 105,116

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Solution

The third proportional to 67,620 and 105,116 is: 163,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,620 : 105,116 = 105,116 : x
  2. Step 2: Convert to fraction form
    67,620/105,116 = 105,116/x
  3. Step 3: Cross multiply
    67,620x = 105,116 × 105,116
  4. Step 4: Simplify right side
    67,620x = 11,049,373,456
  5. Step 5: Solve for x
    x = 11,049,373,456/67,620
  6. Step 6: Final answer
    x = 163,403.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.