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Finding the Third Proportional to 111,126 and 262,213.88

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Solution

The third proportional to 111,126 and 262,213.88 is: 618,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,126 : 262,213.88 = 262,213.88 : x
  2. Step 2: Convert to fraction form
    111,126/262,213.88 = 262,213.88/x
  3. Step 3: Cross multiply
    111,126x = 262,213.88 × 262,213.88
  4. Step 4: Simplify right side
    111,126x = 68,756,116,242.52
  5. Step 5: Solve for x
    x = 68,756,116,242.52/111,126
  6. Step 6: Final answer
    x = 618,722.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.