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Finding the Third Proportional to 50,295 and 109,609

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Solution

The third proportional to 50,295 and 109,609 is: 238,873.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,295 : 109,609 = 109,609 : x
  2. Step 2: Convert to fraction form
    50,295/109,609 = 109,609/x
  3. Step 3: Cross multiply
    50,295x = 109,609 × 109,609
  4. Step 4: Simplify right side
    50,295x = 12,014,132,881
  5. Step 5: Solve for x
    x = 12,014,132,881/50,295
  6. Step 6: Final answer
    x = 238,873.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.