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Finding the Third Proportional to 76,468 and 179,916

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Solution

The third proportional to 76,468 and 179,916 is: 423,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,468 : 179,916 = 179,916 : x
  2. Step 2: Convert to fraction form
    76,468/179,916 = 179,916/x
  3. Step 3: Cross multiply
    76,468x = 179,916 × 179,916
  4. Step 4: Simplify right side
    76,468x = 32,369,767,056
  5. Step 5: Solve for x
    x = 32,369,767,056/76,468
  6. Step 6: Final answer
    x = 423,311.28

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