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Finding the Third Proportional to 51,760.50 and 110,082

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Solution

The third proportional to 51,760.50 and 110,082 is: 234,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,760.50 : 110,082 = 110,082 : x
  2. Step 2: Convert to fraction form
    51,760.50/110,082 = 110,082/x
  3. Step 3: Cross multiply
    51,760.50x = 110,082 × 110,082
  4. Step 4: Simplify right side
    51,760.50x = 12,118,046,724
  5. Step 5: Solve for x
    x = 12,118,046,724/51,760.50
  6. Step 6: Final answer
    x = 234,117.65

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.