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Finding the Third Proportional to 50,164.50 and 108,969

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Solution

The third proportional to 50,164.50 and 108,969 is: 236,706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,164.50 : 108,969 = 108,969 : x
  2. Step 2: Convert to fraction form
    50,164.50/108,969 = 108,969/x
  3. Step 3: Cross multiply
    50,164.50x = 108,969 × 108,969
  4. Step 4: Simplify right side
    50,164.50x = 11,874,242,961
  5. Step 5: Solve for x
    x = 11,874,242,961/50,164.50
  6. Step 6: Final answer
    x = 236,706.10

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.