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Finding the Third Proportional to 54,965 and 119,771

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Solution

The third proportional to 54,965 and 119,771 is: 260,985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,965 : 119,771 = 119,771 : x
  2. Step 2: Convert to fraction form
    54,965/119,771 = 119,771/x
  3. Step 3: Cross multiply
    54,965x = 119,771 × 119,771
  4. Step 4: Simplify right side
    54,965x = 14,345,092,441
  5. Step 5: Solve for x
    x = 14,345,092,441/54,965
  6. Step 6: Final answer
    x = 260,985.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.