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Finding the Third Proportional to 51,608 and 119,468

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Solution

The third proportional to 51,608 and 119,468 is: 276,557.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,608 : 119,468 = 119,468 : x
  2. Step 2: Convert to fraction form
    51,608/119,468 = 119,468/x
  3. Step 3: Cross multiply
    51,608x = 119,468 × 119,468
  4. Step 4: Simplify right side
    51,608x = 14,272,603,024
  5. Step 5: Solve for x
    x = 14,272,603,024/51,608
  6. Step 6: Final answer
    x = 276,557.96

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.