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Finding the Third Proportional to 51,904 and 106,064

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Solution

The third proportional to 51,904 and 106,064 is: 216,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,904 : 106,064 = 106,064 : x
  2. Step 2: Convert to fraction form
    51,904/106,064 = 106,064/x
  3. Step 3: Cross multiply
    51,904x = 106,064 × 106,064
  4. Step 4: Simplify right side
    51,904x = 11,249,572,096
  5. Step 5: Solve for x
    x = 11,249,572,096/51,904
  6. Step 6: Final answer
    x = 216,738.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.