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Finding the Third Proportional to 49,709.25 and 106,114.50

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Solution

The third proportional to 49,709.25 and 106,114.50 is: 226,522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,709.25 : 106,114.50 = 106,114.50 : x
  2. Step 2: Convert to fraction form
    49,709.25/106,114.50 = 106,114.50/x
  3. Step 3: Cross multiply
    49,709.25x = 106,114.50 × 106,114.50
  4. Step 4: Simplify right side
    49,709.25x = 11,260,287,110.25
  5. Step 5: Solve for x
    x = 11,260,287,110.25/49,709.25
  6. Step 6: Final answer
    x = 226,522.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.