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Finding the Third Proportional to 49,089 and 106,014

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Solution

The third proportional to 49,089 and 106,014 is: 228,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,089 : 106,014 = 106,014 : x
  2. Step 2: Convert to fraction form
    49,089/106,014 = 106,014/x
  3. Step 3: Cross multiply
    49,089x = 106,014 × 106,014
  4. Step 4: Simplify right side
    49,089x = 11,238,968,196
  5. Step 5: Solve for x
    x = 11,238,968,196/49,089
  6. Step 6: Final answer
    x = 228,950.85

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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.