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Finding the Third Proportional to 51,135 and 111,567

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Solution

The third proportional to 51,135 and 111,567 is: 243,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,135 : 111,567 = 111,567 : x
  2. Step 2: Convert to fraction form
    51,135/111,567 = 111,567/x
  3. Step 3: Cross multiply
    51,135x = 111,567 × 111,567
  4. Step 4: Simplify right side
    51,135x = 12,447,195,489
  5. Step 5: Solve for x
    x = 12,447,195,489/51,135
  6. Step 6: Final answer
    x = 243,418.31

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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.