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Finding the Third Proportional to 50,253.75 and 105,683.06

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Solution

The third proportional to 50,253.75 and 105,683.06 is: 222,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,253.75 : 105,683.06 = 105,683.06 : x
  2. Step 2: Convert to fraction form
    50,253.75/105,683.06 = 105,683.06/x
  3. Step 3: Cross multiply
    50,253.75x = 105,683.06 × 105,683.06
  4. Step 4: Simplify right side
    50,253.75x = 11,168,909,699.38
  5. Step 5: Solve for x
    x = 11,168,909,699.38/50,253.75
  6. Step 6: Final answer
    x = 222,250.27

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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.