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Finding the Third Proportional to 86,536 and 126,400

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Solution

The third proportional to 86,536 and 126,400 is: 184,627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,536 : 126,400 = 126,400 : x
  2. Step 2: Convert to fraction form
    86,536/126,400 = 126,400/x
  3. Step 3: Cross multiply
    86,536x = 126,400 × 126,400
  4. Step 4: Simplify right side
    86,536x = 15,976,960,000
  5. Step 5: Solve for x
    x = 15,976,960,000/86,536
  6. Step 6: Final answer
    x = 184,627.90

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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.