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Finding the Third Proportional to 51,779 and 110,933

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Solution

The third proportional to 51,779 and 110,933 is: 237,666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,779 : 110,933 = 110,933 : x
  2. Step 2: Convert to fraction form
    51,779/110,933 = 110,933/x
  3. Step 3: Cross multiply
    51,779x = 110,933 × 110,933
  4. Step 4: Simplify right side
    51,779x = 12,306,130,489
  5. Step 5: Solve for x
    x = 12,306,130,489/51,779
  6. Step 6: Final answer
    x = 237,666.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.