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Finding the Third Proportional to 50,133 and 107,031.19

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Solution

The third proportional to 50,133 and 107,031.19 is: 228,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,133 : 107,031.19 = 107,031.19 : x
  2. Step 2: Convert to fraction form
    50,133/107,031.19 = 107,031.19/x
  3. Step 3: Cross multiply
    50,133x = 107,031.19 × 107,031.19
  4. Step 4: Simplify right side
    50,133x = 11,455,675,097.66
  5. Step 5: Solve for x
    x = 11,455,675,097.66/50,133
  6. Step 6: Final answer
    x = 228,505.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.