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Finding the Third Proportional to 73,696 and 173,226

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Solution

The third proportional to 73,696 and 173,226 is: 407,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,696 : 173,226 = 173,226 : x
  2. Step 2: Convert to fraction form
    73,696/173,226 = 173,226/x
  3. Step 3: Cross multiply
    73,696x = 173,226 × 173,226
  4. Step 4: Simplify right side
    73,696x = 30,007,247,076
  5. Step 5: Solve for x
    x = 30,007,247,076/73,696
  6. Step 6: Final answer
    x = 407,176.06

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.