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Finding the Third Proportional to 76,468 and 168,063

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Solution

The third proportional to 76,468 and 168,063 is: 369,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,468 : 168,063 = 168,063 : x
  2. Step 2: Convert to fraction form
    76,468/168,063 = 168,063/x
  3. Step 3: Cross multiply
    76,468x = 168,063 × 168,063
  4. Step 4: Simplify right side
    76,468x = 28,245,171,969
  5. Step 5: Solve for x
    x = 28,245,171,969/76,468
  6. Step 6: Final answer
    x = 369,372.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.