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Finding the Third Proportional to 86,988 and 167,064

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Solution

The third proportional to 86,988 and 167,064 is: 320,853.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,988 : 167,064 = 167,064 : x
  2. Step 2: Convert to fraction form
    86,988/167,064 = 167,064/x
  3. Step 3: Cross multiply
    86,988x = 167,064 × 167,064
  4. Step 4: Simplify right side
    86,988x = 27,910,380,096
  5. Step 5: Solve for x
    x = 27,910,380,096/86,988
  6. Step 6: Final answer
    x = 320,853.22

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.