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Finding the Third Proportional to 57,772 and 119,900

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Solution

The third proportional to 57,772 and 119,900 is: 248,840.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,772 : 119,900 = 119,900 : x
  2. Step 2: Convert to fraction form
    57,772/119,900 = 119,900/x
  3. Step 3: Cross multiply
    57,772x = 119,900 × 119,900
  4. Step 4: Simplify right side
    57,772x = 14,376,010,000
  5. Step 5: Solve for x
    x = 14,376,010,000/57,772
  6. Step 6: Final answer
    x = 248,840.44

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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.