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Finding the Third Proportional to 50,274 and 105,444

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Solution

The third proportional to 50,274 and 105,444 is: 221,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,274 : 105,444 = 105,444 : x
  2. Step 2: Convert to fraction form
    50,274/105,444 = 105,444/x
  3. Step 3: Cross multiply
    50,274x = 105,444 × 105,444
  4. Step 4: Simplify right side
    50,274x = 11,118,437,136
  5. Step 5: Solve for x
    x = 11,118,437,136/50,274
  6. Step 6: Final answer
    x = 221,156.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.