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Finding the Third Proportional to 49,852 and 106,160

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Solution

The third proportional to 49,852 and 106,160 is: 226,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,852 : 106,160 = 106,160 : x
  2. Step 2: Convert to fraction form
    49,852/106,160 = 106,160/x
  3. Step 3: Cross multiply
    49,852x = 106,160 × 106,160
  4. Step 4: Simplify right side
    49,852x = 11,269,945,600
  5. Step 5: Solve for x
    x = 11,269,945,600/49,852
  6. Step 6: Final answer
    x = 226,068.07

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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.