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Finding the Third Proportional to 51,034.50 and 110,283.75

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Solution

The third proportional to 51,034.50 and 110,283.75 is: 238,319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,034.50 : 110,283.75 = 110,283.75 : x
  2. Step 2: Convert to fraction form
    51,034.50/110,283.75 = 110,283.75/x
  3. Step 3: Cross multiply
    51,034.50x = 110,283.75 × 110,283.75
  4. Step 4: Simplify right side
    51,034.50x = 12,162,505,514.06
  5. Step 5: Solve for x
    x = 12,162,505,514.06/51,034.50
  6. Step 6: Final answer
    x = 238,319.28

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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.