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Finding the Third Proportional to 50,241 and 108,370.50

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Solution

The third proportional to 50,241 and 108,370.50 is: 233,756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,241 : 108,370.50 = 108,370.50 : x
  2. Step 2: Convert to fraction form
    50,241/108,370.50 = 108,370.50/x
  3. Step 3: Cross multiply
    50,241x = 108,370.50 × 108,370.50
  4. Step 4: Simplify right side
    50,241x = 11,744,165,270.25
  5. Step 5: Solve for x
    x = 11,744,165,270.25/50,241
  6. Step 6: Final answer
    x = 233,756.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.