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Finding the Third Proportional to 51,026 and 108,123

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Solution

The third proportional to 51,026 and 108,123 is: 229,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,026 : 108,123 = 108,123 : x
  2. Step 2: Convert to fraction form
    51,026/108,123 = 108,123/x
  3. Step 3: Cross multiply
    51,026x = 108,123 × 108,123
  4. Step 4: Simplify right side
    51,026x = 11,690,583,129
  5. Step 5: Solve for x
    x = 11,690,583,129/51,026
  6. Step 6: Final answer
    x = 229,110.32

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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.