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Finding the Third Proportional to 51,310 and 76,760

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Solution

The third proportional to 51,310 and 76,760 is: 114,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,310 : 76,760 = 76,760 : x
  2. Step 2: Convert to fraction form
    51,310/76,760 = 76,760/x
  3. Step 3: Cross multiply
    51,310x = 76,760 × 76,760
  4. Step 4: Simplify right side
    51,310x = 5,892,097,600
  5. Step 5: Solve for x
    x = 5,892,097,600/51,310
  6. Step 6: Final answer
    x = 114,833.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.