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Finding the Third Proportional to 86,370 and 184,728

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Solution

The third proportional to 86,370 and 184,728 is: 395,095.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,370 : 184,728 = 184,728 : x
  2. Step 2: Convert to fraction form
    86,370/184,728 = 184,728/x
  3. Step 3: Cross multiply
    86,370x = 184,728 × 184,728
  4. Step 4: Simplify right side
    86,370x = 34,124,433,984
  5. Step 5: Solve for x
    x = 34,124,433,984/86,370
  6. Step 6: Final answer
    x = 395,095.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.