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Finding the Third Proportional to 64,839 and 94,923

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Solution

The third proportional to 64,839 and 94,923 is: 138,965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,839 : 94,923 = 94,923 : x
  2. Step 2: Convert to fraction form
    64,839/94,923 = 94,923/x
  3. Step 3: Cross multiply
    64,839x = 94,923 × 94,923
  4. Step 4: Simplify right side
    64,839x = 9,010,375,929
  5. Step 5: Solve for x
    x = 9,010,375,929/64,839
  6. Step 6: Final answer
    x = 138,965.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.