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Finding the Third Proportional to 48,488 and 105,976

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Solution

The third proportional to 48,488 and 105,976 is: 231,622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,488 : 105,976 = 105,976 : x
  2. Step 2: Convert to fraction form
    48,488/105,976 = 105,976/x
  3. Step 3: Cross multiply
    48,488x = 105,976 × 105,976
  4. Step 4: Simplify right side
    48,488x = 11,230,912,576
  5. Step 5: Solve for x
    x = 11,230,912,576/48,488
  6. Step 6: Final answer
    x = 231,622.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.