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Finding the Third Proportional to 48,300 and 107,898

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Solution

The third proportional to 48,300 and 107,898 is: 241,034.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,300 : 107,898 = 107,898 : x
  2. Step 2: Convert to fraction form
    48,300/107,898 = 107,898/x
  3. Step 3: Cross multiply
    48,300x = 107,898 × 107,898
  4. Step 4: Simplify right side
    48,300x = 11,641,978,404
  5. Step 5: Solve for x
    x = 11,641,978,404/48,300
  6. Step 6: Final answer
    x = 241,034.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.