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Finding the Third Proportional to 50,629 and 109,046

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Solution

The third proportional to 50,629 and 109,046 is: 234,865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,629 : 109,046 = 109,046 : x
  2. Step 2: Convert to fraction form
    50,629/109,046 = 109,046/x
  3. Step 3: Cross multiply
    50,629x = 109,046 × 109,046
  4. Step 4: Simplify right side
    50,629x = 11,891,030,116
  5. Step 5: Solve for x
    x = 11,891,030,116/50,629
  6. Step 6: Final answer
    x = 234,865.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.