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Finding the Third Proportional to 50,926.50 and 109,654.50

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Solution

The third proportional to 50,926.50 and 109,654.50 is: 236,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,926.50 : 109,654.50 = 109,654.50 : x
  2. Step 2: Convert to fraction form
    50,926.50/109,654.50 = 109,654.50/x
  3. Step 3: Cross multiply
    50,926.50x = 109,654.50 × 109,654.50
  4. Step 4: Simplify right side
    50,926.50x = 12,024,109,370.25
  5. Step 5: Solve for x
    x = 12,024,109,370.25/50,926.50
  6. Step 6: Final answer
    x = 236,107.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.