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Finding the Third Proportional to 51,008 and 71,703.25

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Solution

The third proportional to 51,008 and 71,703.25 is: 100,795.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,008 : 71,703.25 = 71,703.25 : x
  2. Step 2: Convert to fraction form
    51,008/71,703.25 = 71,703.25/x
  3. Step 3: Cross multiply
    51,008x = 71,703.25 × 71,703.25
  4. Step 4: Simplify right side
    51,008x = 5,141,356,060.56
  5. Step 5: Solve for x
    x = 5,141,356,060.56/51,008
  6. Step 6: Final answer
    x = 100,795.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.