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Finding the Third Proportional to 43,244 and 89,728

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Solution

The third proportional to 43,244 and 89,728 is: 186,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,244 : 89,728 = 89,728 : x
  2. Step 2: Convert to fraction form
    43,244/89,728 = 89,728/x
  3. Step 3: Cross multiply
    43,244x = 89,728 × 89,728
  4. Step 4: Simplify right side
    43,244x = 8,051,113,984
  5. Step 5: Solve for x
    x = 8,051,113,984/43,244
  6. Step 6: Final answer
    x = 186,178.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.