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Finding the Third Proportional to 52,612 and 113,971

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Solution

The third proportional to 52,612 and 113,971 is: 246,890.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,612 : 113,971 = 113,971 : x
  2. Step 2: Convert to fraction form
    52,612/113,971 = 113,971/x
  3. Step 3: Cross multiply
    52,612x = 113,971 × 113,971
  4. Step 4: Simplify right side
    52,612x = 12,989,388,841
  5. Step 5: Solve for x
    x = 12,989,388,841/52,612
  6. Step 6: Final answer
    x = 246,890.23

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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.