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Finding the Third Proportional to 49,089 and 105,899

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Solution

The third proportional to 49,089 and 105,899 is: 228,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,089 : 105,899 = 105,899 : x
  2. Step 2: Convert to fraction form
    49,089/105,899 = 105,899/x
  3. Step 3: Cross multiply
    49,089x = 105,899 × 105,899
  4. Step 4: Simplify right side
    49,089x = 11,214,598,201
  5. Step 5: Solve for x
    x = 11,214,598,201/49,089
  6. Step 6: Final answer
    x = 228,454.40

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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.