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Finding the Third Proportional to 86,225 and 125,989

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Solution

The third proportional to 86,225 and 125,989 is: 184,090.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,225 : 125,989 = 125,989 : x
  2. Step 2: Convert to fraction form
    86,225/125,989 = 125,989/x
  3. Step 3: Cross multiply
    86,225x = 125,989 × 125,989
  4. Step 4: Simplify right side
    86,225x = 15,873,228,121
  5. Step 5: Solve for x
    x = 15,873,228,121/86,225
  6. Step 6: Final answer
    x = 184,090.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.