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Finding the Third Proportional to 51,045.75 and 110,299.50

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Solution

The third proportional to 51,045.75 and 110,299.50 is: 238,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,045.75 : 110,299.50 = 110,299.50 : x
  2. Step 2: Convert to fraction form
    51,045.75/110,299.50 = 110,299.50/x
  3. Step 3: Cross multiply
    51,045.75x = 110,299.50 × 110,299.50
  4. Step 4: Simplify right side
    51,045.75x = 12,165,979,700.25
  5. Step 5: Solve for x
    x = 12,165,979,700.25/51,045.75
  6. Step 6: Final answer
    x = 238,334.82

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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.