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Finding the Third Proportional to 50,301 and 104,729.63

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Solution

The third proportional to 50,301 and 104,729.63 is: 218,053.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,301 : 104,729.63 = 104,729.63 : x
  2. Step 2: Convert to fraction form
    50,301/104,729.63 = 104,729.63/x
  3. Step 3: Cross multiply
    50,301x = 104,729.63 × 104,729.63
  4. Step 4: Simplify right side
    50,301x = 10,968,294,352.64
  5. Step 5: Solve for x
    x = 10,968,294,352.64/50,301
  6. Step 6: Final answer
    x = 218,053.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.