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Finding the Third Proportional to 57,774 and 119,904

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Solution

The third proportional to 57,774 and 119,904 is: 248,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,774 : 119,904 = 119,904 : x
  2. Step 2: Convert to fraction form
    57,774/119,904 = 119,904/x
  3. Step 3: Cross multiply
    57,774x = 119,904 × 119,904
  4. Step 4: Simplify right side
    57,774x = 14,376,969,216
  5. Step 5: Solve for x
    x = 14,376,969,216/57,774
  6. Step 6: Final answer
    x = 248,848.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.