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Finding the Third Proportional to 86,533 and 126,397

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Solution

The third proportional to 86,533 and 126,397 is: 184,625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,533 : 126,397 = 126,397 : x
  2. Step 2: Convert to fraction form
    86,533/126,397 = 126,397/x
  3. Step 3: Cross multiply
    86,533x = 126,397 × 126,397
  4. Step 4: Simplify right side
    86,533x = 15,976,201,609
  5. Step 5: Solve for x
    x = 15,976,201,609/86,533
  6. Step 6: Final answer
    x = 184,625.54

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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.