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Finding the Third Proportional to 81,558.75 and 114,851.25

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Solution

The third proportional to 81,558.75 and 114,851.25 is: 161,733.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,558.75 : 114,851.25 = 114,851.25 : x
  2. Step 2: Convert to fraction form
    81,558.75/114,851.25 = 114,851.25/x
  3. Step 3: Cross multiply
    81,558.75x = 114,851.25 × 114,851.25
  4. Step 4: Simplify right side
    81,558.75x = 13,190,809,626.56
  5. Step 5: Solve for x
    x = 13,190,809,626.56/81,558.75
  6. Step 6: Final answer
    x = 161,733.84

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Why These Related Problems?

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