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Finding the Third Proportional to 43,896 and 85,572

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Solution

The third proportional to 43,896 and 85,572 is: 166,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,896 : 85,572 = 85,572 : x
  2. Step 2: Convert to fraction form
    43,896/85,572 = 85,572/x
  3. Step 3: Cross multiply
    43,896x = 85,572 × 85,572
  4. Step 4: Simplify right side
    43,896x = 7,322,567,184
  5. Step 5: Solve for x
    x = 7,322,567,184/43,896
  6. Step 6: Final answer
    x = 166,816.27

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.