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Finding the Third Proportional to 50,254.75 and 105,685

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Solution

The third proportional to 50,254.75 and 105,685 is: 222,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,254.75 : 105,685 = 105,685 : x
  2. Step 2: Convert to fraction form
    50,254.75/105,685 = 105,685/x
  3. Step 3: Cross multiply
    50,254.75x = 105,685 × 105,685
  4. Step 4: Simplify right side
    50,254.75x = 11,169,319,225
  5. Step 5: Solve for x
    x = 11,169,319,225/50,254.75
  6. Step 6: Final answer
    x = 222,254.00

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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.