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Finding the Third Proportional to 86,456 and 187,672

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Solution

The third proportional to 86,456 and 187,672 is: 407,383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,456 : 187,672 = 187,672 : x
  2. Step 2: Convert to fraction form
    86,456/187,672 = 187,672/x
  3. Step 3: Cross multiply
    86,456x = 187,672 × 187,672
  4. Step 4: Simplify right side
    86,456x = 35,220,779,584
  5. Step 5: Solve for x
    x = 35,220,779,584/86,456
  6. Step 6: Final answer
    x = 407,383.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.