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Finding the Third Proportional to 77,965 and 171,273

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Solution

The third proportional to 77,965 and 171,273 is: 376,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,965 : 171,273 = 171,273 : x
  2. Step 2: Convert to fraction form
    77,965/171,273 = 171,273/x
  3. Step 3: Cross multiply
    77,965x = 171,273 × 171,273
  4. Step 4: Simplify right side
    77,965x = 29,334,440,529
  5. Step 5: Solve for x
    x = 29,334,440,529/77,965
  6. Step 6: Final answer
    x = 376,251.40

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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.