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Finding the Third Proportional to 51,088 and 75,902.75

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Solution

The third proportional to 51,088 and 75,902.75 is: 112,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,088 : 75,902.75 = 75,902.75 : x
  2. Step 2: Convert to fraction form
    51,088/75,902.75 = 75,902.75/x
  3. Step 3: Cross multiply
    51,088x = 75,902.75 × 75,902.75
  4. Step 4: Simplify right side
    51,088x = 5,761,227,457.56
  5. Step 5: Solve for x
    x = 5,761,227,457.56/51,088
  6. Step 6: Final answer
    x = 112,770.66

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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.