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Finding the Third Proportional to 45,678 and 61,104

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Solution

The third proportional to 45,678 and 61,104 is: 81,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,678 : 61,104 = 61,104 : x
  2. Step 2: Convert to fraction form
    45,678/61,104 = 61,104/x
  3. Step 3: Cross multiply
    45,678x = 61,104 × 61,104
  4. Step 4: Simplify right side
    45,678x = 3,733,698,816
  5. Step 5: Solve for x
    x = 3,733,698,816/45,678
  6. Step 6: Final answer
    x = 81,739.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.