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Finding the Third Proportional to 50,218 and 110,138

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Solution

The third proportional to 50,218 and 110,138 is: 241,554.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,218 : 110,138 = 110,138 : x
  2. Step 2: Convert to fraction form
    50,218/110,138 = 110,138/x
  3. Step 3: Cross multiply
    50,218x = 110,138 × 110,138
  4. Step 4: Simplify right side
    50,218x = 12,130,379,044
  5. Step 5: Solve for x
    x = 12,130,379,044/50,218
  6. Step 6: Final answer
    x = 241,554.40

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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.