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Finding the Third Proportional to 51,028 and 108,127

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Solution

The third proportional to 51,028 and 108,127 is: 229,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,028 : 108,127 = 108,127 : x
  2. Step 2: Convert to fraction form
    51,028/108,127 = 108,127/x
  3. Step 3: Cross multiply
    51,028x = 108,127 × 108,127
  4. Step 4: Simplify right side
    51,028x = 11,691,448,129
  5. Step 5: Solve for x
    x = 11,691,448,129/51,028
  6. Step 6: Final answer
    x = 229,118.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.