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Finding the Third Proportional to 73,826 and 173,318

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Solution

The third proportional to 73,826 and 173,318 is: 406,890.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,826 : 173,318 = 173,318 : x
  2. Step 2: Convert to fraction form
    73,826/173,318 = 173,318/x
  3. Step 3: Cross multiply
    73,826x = 173,318 × 173,318
  4. Step 4: Simplify right side
    73,826x = 30,039,129,124
  5. Step 5: Solve for x
    x = 30,039,129,124/73,826
  6. Step 6: Final answer
    x = 406,890.92

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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.