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Finding the Third Proportional to 86,029 and 185,239

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Solution

The third proportional to 86,029 and 185,239 is: 398,859.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,029 : 185,239 = 185,239 : x
  2. Step 2: Convert to fraction form
    86,029/185,239 = 185,239/x
  3. Step 3: Cross multiply
    86,029x = 185,239 × 185,239
  4. Step 4: Simplify right side
    86,029x = 34,313,487,121
  5. Step 5: Solve for x
    x = 34,313,487,121/86,029
  6. Step 6: Final answer
    x = 398,859.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.