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Finding the Third Proportional to 51,014 and 110,765

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Solution

The third proportional to 51,014 and 110,765 is: 240,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,014 : 110,765 = 110,765 : x
  2. Step 2: Convert to fraction form
    51,014/110,765 = 110,765/x
  3. Step 3: Cross multiply
    51,014x = 110,765 × 110,765
  4. Step 4: Simplify right side
    51,014x = 12,268,885,225
  5. Step 5: Solve for x
    x = 12,268,885,225/51,014
  6. Step 6: Final answer
    x = 240,500.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.