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Finding the Third Proportional to 69,408.75 and 94,056.75

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Solution

The third proportional to 69,408.75 and 94,056.75 is: 127,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,408.75 : 94,056.75 = 94,056.75 : x
  2. Step 2: Convert to fraction form
    69,408.75/94,056.75 = 94,056.75/x
  3. Step 3: Cross multiply
    69,408.75x = 94,056.75 × 94,056.75
  4. Step 4: Simplify right side
    69,408.75x = 8,846,672,220.56
  5. Step 5: Solve for x
    x = 8,846,672,220.56/69,408.75
  6. Step 6: Final answer
    x = 127,457.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.