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Finding the Third Proportional to 76,318 and 163,922

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Solution

The third proportional to 76,318 and 163,922 is: 352,084.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,318 : 163,922 = 163,922 : x
  2. Step 2: Convert to fraction form
    76,318/163,922 = 163,922/x
  3. Step 3: Cross multiply
    76,318x = 163,922 × 163,922
  4. Step 4: Simplify right side
    76,318x = 26,870,422,084
  5. Step 5: Solve for x
    x = 26,870,422,084/76,318
  6. Step 6: Final answer
    x = 352,084.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.