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Finding the Third Proportional to 86,267 and 130,616

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Solution

The third proportional to 86,267 and 130,616 is: 197,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,267 : 130,616 = 130,616 : x
  2. Step 2: Convert to fraction form
    86,267/130,616 = 130,616/x
  3. Step 3: Cross multiply
    86,267x = 130,616 × 130,616
  4. Step 4: Simplify right side
    86,267x = 17,060,539,456
  5. Step 5: Solve for x
    x = 17,060,539,456/86,267
  6. Step 6: Final answer
    x = 197,764.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.