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Finding the Third Proportional to 49,644 and 107,062

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Solution

The third proportional to 49,644 and 107,062 is: 230,889.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,644 : 107,062 = 107,062 : x
  2. Step 2: Convert to fraction form
    49,644/107,062 = 107,062/x
  3. Step 3: Cross multiply
    49,644x = 107,062 × 107,062
  4. Step 4: Simplify right side
    49,644x = 11,462,271,844
  5. Step 5: Solve for x
    x = 11,462,271,844/49,644
  6. Step 6: Final answer
    x = 230,889.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.