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Finding the Third Proportional to 78,832.75 and 122,394.75

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Solution

The third proportional to 78,832.75 and 122,394.75 is: 190,028.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,832.75 : 122,394.75 = 122,394.75 : x
  2. Step 2: Convert to fraction form
    78,832.75/122,394.75 = 122,394.75/x
  3. Step 3: Cross multiply
    78,832.75x = 122,394.75 × 122,394.75
  4. Step 4: Simplify right side
    78,832.75x = 14,980,474,827.56
  5. Step 5: Solve for x
    x = 14,980,474,827.56/78,832.75
  6. Step 6: Final answer
    x = 190,028.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.