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Finding the Third Proportional to 49,087.13 and 106,007.25

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Solution

The third proportional to 49,087.13 and 106,007.25 is: 228,930.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,087.13 : 106,007.25 = 106,007.25 : x
  2. Step 2: Convert to fraction form
    49,087.13/106,007.25 = 106,007.25/x
  3. Step 3: Cross multiply
    49,087.13x = 106,007.25 × 106,007.25
  4. Step 4: Simplify right side
    49,087.13x = 11,237,537,052.56
  5. Step 5: Solve for x
    x = 11,237,537,052.56/49,087.13
  6. Step 6: Final answer
    x = 228,930.44

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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.