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Finding the Third Proportional to 50,697 and 113,040

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Solution

The third proportional to 50,697 and 113,040 is: 252,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,697 : 113,040 = 113,040 : x
  2. Step 2: Convert to fraction form
    50,697/113,040 = 113,040/x
  3. Step 3: Cross multiply
    50,697x = 113,040 × 113,040
  4. Step 4: Simplify right side
    50,697x = 12,778,041,600
  5. Step 5: Solve for x
    x = 12,778,041,600/50,697
  6. Step 6: Final answer
    x = 252,047.29

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.