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Finding the Third Proportional to 49,644 and 107,068

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Solution

The third proportional to 49,644 and 107,068 is: 230,915.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,644 : 107,068 = 107,068 : x
  2. Step 2: Convert to fraction form
    49,644/107,068 = 107,068/x
  3. Step 3: Cross multiply
    49,644x = 107,068 × 107,068
  4. Step 4: Simplify right side
    49,644x = 11,463,556,624
  5. Step 5: Solve for x
    x = 11,463,556,624/49,644
  6. Step 6: Final answer
    x = 230,915.25

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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.