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Finding the Third Proportional to 49,958 and 107,000

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Solution

The third proportional to 49,958 and 107,000 is: 229,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,958 : 107,000 = 107,000 : x
  2. Step 2: Convert to fraction form
    49,958/107,000 = 107,000/x
  3. Step 3: Cross multiply
    49,958x = 107,000 × 107,000
  4. Step 4: Simplify right side
    49,958x = 11,449,000,000
  5. Step 5: Solve for x
    x = 11,449,000,000/49,958
  6. Step 6: Final answer
    x = 229,172.50

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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.