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Finding the Third Proportional to 51,071 and 76,299.50

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Solution

The third proportional to 51,071 and 76,299.50 is: 113,990.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,071 : 76,299.50 = 76,299.50 : x
  2. Step 2: Convert to fraction form
    51,071/76,299.50 = 76,299.50/x
  3. Step 3: Cross multiply
    51,071x = 76,299.50 × 76,299.50
  4. Step 4: Simplify right side
    51,071x = 5,821,613,700.25
  5. Step 5: Solve for x
    x = 5,821,613,700.25/51,071
  6. Step 6: Final answer
    x = 113,990.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.