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Finding the Third Proportional to 86,223 and 125,986.50

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Solution

The third proportional to 86,223 and 125,986.50 is: 184,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,223 : 125,986.50 = 125,986.50 : x
  2. Step 2: Convert to fraction form
    86,223/125,986.50 = 125,986.50/x
  3. Step 3: Cross multiply
    86,223x = 125,986.50 × 125,986.50
  4. Step 4: Simplify right side
    86,223x = 15,872,598,182.25
  5. Step 5: Solve for x
    x = 15,872,598,182.25/86,223
  6. Step 6: Final answer
    x = 184,087.75

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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.