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Finding the Third Proportional to 50,369.63 and 78,617.25

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Solution

The third proportional to 50,369.63 and 78,617.25 is: 122,706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,369.63 : 78,617.25 = 78,617.25 : x
  2. Step 2: Convert to fraction form
    50,369.63/78,617.25 = 78,617.25/x
  3. Step 3: Cross multiply
    50,369.63x = 78,617.25 × 78,617.25
  4. Step 4: Simplify right side
    50,369.63x = 6,180,671,997.56
  5. Step 5: Solve for x
    x = 6,180,671,997.56/50,369.63
  6. Step 6: Final answer
    x = 122,706.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.