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Finding the Third Proportional to 135,013.50 and 291,687.75

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Solution

The third proportional to 135,013.50 and 291,687.75 is: 630,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,013.50 : 291,687.75 = 291,687.75 : x
  2. Step 2: Convert to fraction form
    135,013.50/291,687.75 = 291,687.75/x
  3. Step 3: Cross multiply
    135,013.50x = 291,687.75 × 291,687.75
  4. Step 4: Simplify right side
    135,013.50x = 85,081,743,500.06
  5. Step 5: Solve for x
    x = 85,081,743,500.06/135,013.50
  6. Step 6: Final answer
    x = 630,172.12

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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.