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Finding the Third Proportional to 51,129 and 111,555

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Solution

The third proportional to 51,129 and 111,555 is: 243,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,129 : 111,555 = 111,555 : x
  2. Step 2: Convert to fraction form
    51,129/111,555 = 111,555/x
  3. Step 3: Cross multiply
    51,129x = 111,555 × 111,555
  4. Step 4: Simplify right side
    51,129x = 12,444,518,025
  5. Step 5: Solve for x
    x = 12,444,518,025/51,129
  6. Step 6: Final answer
    x = 243,394.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.