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Finding the Third Proportional to 51,026 and 111,898

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Solution

The third proportional to 51,026 and 111,898 is: 245,387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,026 : 111,898 = 111,898 : x
  2. Step 2: Convert to fraction form
    51,026/111,898 = 111,898/x
  3. Step 3: Cross multiply
    51,026x = 111,898 × 111,898
  4. Step 4: Simplify right side
    51,026x = 12,521,162,404
  5. Step 5: Solve for x
    x = 12,521,162,404/51,026
  6. Step 6: Final answer
    x = 245,387.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.