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Finding the Third Proportional to 86,592 and 179,988

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Solution

The third proportional to 86,592 and 179,988 is: 374,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,592 : 179,988 = 179,988 : x
  2. Step 2: Convert to fraction form
    86,592/179,988 = 179,988/x
  3. Step 3: Cross multiply
    86,592x = 179,988 × 179,988
  4. Step 4: Simplify right side
    86,592x = 32,395,680,144
  5. Step 5: Solve for x
    x = 32,395,680,144/86,592
  6. Step 6: Final answer
    x = 374,118.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.