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Finding the Third Proportional to 84,991.50 and 125,027

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Solution

The third proportional to 84,991.50 and 125,027 is: 183,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,991.50 : 125,027 = 125,027 : x
  2. Step 2: Convert to fraction form
    84,991.50/125,027 = 125,027/x
  3. Step 3: Cross multiply
    84,991.50x = 125,027 × 125,027
  4. Step 4: Simplify right side
    84,991.50x = 15,631,750,729
  5. Step 5: Solve for x
    x = 15,631,750,729/84,991.50
  6. Step 6: Final answer
    x = 183,921.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.