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Finding the Third Proportional to 51,300 and 109,899

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Solution

The third proportional to 51,300 and 109,899 is: 235,434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,300 : 109,899 = 109,899 : x
  2. Step 2: Convert to fraction form
    51,300/109,899 = 109,899/x
  3. Step 3: Cross multiply
    51,300x = 109,899 × 109,899
  4. Step 4: Simplify right side
    51,300x = 12,077,790,201
  5. Step 5: Solve for x
    x = 12,077,790,201/51,300
  6. Step 6: Final answer
    x = 235,434.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.