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Finding the Third Proportional to 51,066 and 109,911

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Solution

The third proportional to 51,066 and 109,911 is: 236,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,066 : 109,911 = 109,911 : x
  2. Step 2: Convert to fraction form
    51,066/109,911 = 109,911/x
  3. Step 3: Cross multiply
    51,066x = 109,911 × 109,911
  4. Step 4: Simplify right side
    51,066x = 12,080,427,921
  5. Step 5: Solve for x
    x = 12,080,427,921/51,066
  6. Step 6: Final answer
    x = 236,564.99

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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.