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Finding the Third Proportional to 89,823 and 140,905.75

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Solution

The third proportional to 89,823 and 140,905.75 is: 221,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,823 : 140,905.75 = 140,905.75 : x
  2. Step 2: Convert to fraction form
    89,823/140,905.75 = 140,905.75/x
  3. Step 3: Cross multiply
    89,823x = 140,905.75 × 140,905.75
  4. Step 4: Simplify right side
    89,823x = 19,854,430,383.06
  5. Step 5: Solve for x
    x = 19,854,430,383.06/89,823
  6. Step 6: Final answer
    x = 221,039.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.