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Finding the Third Proportional to 51,764 and 110,998

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Solution

The third proportional to 51,764 and 110,998 is: 238,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,764 : 110,998 = 110,998 : x
  2. Step 2: Convert to fraction form
    51,764/110,998 = 110,998/x
  3. Step 3: Cross multiply
    51,764x = 110,998 × 110,998
  4. Step 4: Simplify right side
    51,764x = 12,320,556,004
  5. Step 5: Solve for x
    x = 12,320,556,004/51,764
  6. Step 6: Final answer
    x = 238,013.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.