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Finding the Third Proportional to 49,865 and 106,735

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Solution

The third proportional to 49,865 and 106,735 is: 228,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,865 : 106,735 = 106,735 : x
  2. Step 2: Convert to fraction form
    49,865/106,735 = 106,735/x
  3. Step 3: Cross multiply
    49,865x = 106,735 × 106,735
  4. Step 4: Simplify right side
    49,865x = 11,392,360,225
  5. Step 5: Solve for x
    x = 11,392,360,225/49,865
  6. Step 6: Final answer
    x = 228,464.06

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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.