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Finding the Third Proportional to 50,375 and 110,437

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Solution

The third proportional to 50,375 and 110,437 is: 242,110.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,375 : 110,437 = 110,437 : x
  2. Step 2: Convert to fraction form
    50,375/110,437 = 110,437/x
  3. Step 3: Cross multiply
    50,375x = 110,437 × 110,437
  4. Step 4: Simplify right side
    50,375x = 12,196,330,969
  5. Step 5: Solve for x
    x = 12,196,330,969/50,375
  6. Step 6: Final answer
    x = 242,110.79

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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.