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Finding the Third Proportional to 111,024 and 237,912

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Solution

The third proportional to 111,024 and 237,912 is: 509,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,024 : 237,912 = 237,912 : x
  2. Step 2: Convert to fraction form
    111,024/237,912 = 237,912/x
  3. Step 3: Cross multiply
    111,024x = 237,912 × 237,912
  4. Step 4: Simplify right side
    111,024x = 56,602,119,744
  5. Step 5: Solve for x
    x = 56,602,119,744/111,024
  6. Step 6: Final answer
    x = 509,818.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.