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Finding the Third Proportional to 86,048 and 184,548

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Solution

The third proportional to 86,048 and 184,548 is: 395,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,048 : 184,548 = 184,548 : x
  2. Step 2: Convert to fraction form
    86,048/184,548 = 184,548/x
  3. Step 3: Cross multiply
    86,048x = 184,548 × 184,548
  4. Step 4: Simplify right side
    86,048x = 34,057,964,304
  5. Step 5: Solve for x
    x = 34,057,964,304/86,048
  6. Step 6: Final answer
    x = 395,801.93

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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.