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Finding the Third Proportional to 51,113 and 111,760

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Solution

The third proportional to 51,113 and 111,760 is: 244,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,113 : 111,760 = 111,760 : x
  2. Step 2: Convert to fraction form
    51,113/111,760 = 111,760/x
  3. Step 3: Cross multiply
    51,113x = 111,760 × 111,760
  4. Step 4: Simplify right side
    51,113x = 12,490,297,600
  5. Step 5: Solve for x
    x = 12,490,297,600/51,113
  6. Step 6: Final answer
    x = 244,366.36

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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.