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Finding the Third Proportional to 50,245.50 and 109,239

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Solution

The third proportional to 50,245.50 and 109,239 is: 237,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,245.50 : 109,239 = 109,239 : x
  2. Step 2: Convert to fraction form
    50,245.50/109,239 = 109,239/x
  3. Step 3: Cross multiply
    50,245.50x = 109,239 × 109,239
  4. Step 4: Simplify right side
    50,245.50x = 11,933,159,121
  5. Step 5: Solve for x
    x = 11,933,159,121/50,245.50
  6. Step 6: Final answer
    x = 237,497.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.