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Finding the Third Proportional to 51,851.81 and 113,089.50

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Solution

The third proportional to 51,851.81 and 113,089.50 is: 246,649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,851.81 : 113,089.50 = 113,089.50 : x
  2. Step 2: Convert to fraction form
    51,851.81/113,089.50 = 113,089.50/x
  3. Step 3: Cross multiply
    51,851.81x = 113,089.50 × 113,089.50
  4. Step 4: Simplify right side
    51,851.81x = 12,789,235,010.25
  5. Step 5: Solve for x
    x = 12,789,235,010.25/51,851.81
  6. Step 6: Final answer
    x = 246,649.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.