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Finding the Third Proportional to 51,106 and 71,614.75

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Solution

The third proportional to 51,106 and 71,614.75 is: 100,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,106 : 71,614.75 = 71,614.75 : x
  2. Step 2: Convert to fraction form
    51,106/71,614.75 = 71,614.75/x
  3. Step 3: Cross multiply
    51,106x = 71,614.75 × 71,614.75
  4. Step 4: Simplify right side
    51,106x = 5,128,672,417.56
  5. Step 5: Solve for x
    x = 5,128,672,417.56/51,106
  6. Step 6: Final answer
    x = 100,353.63

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.