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Finding the Third Proportional to 86,136 and 184,725

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Solution

The third proportional to 86,136 and 184,725 is: 396,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,136 : 184,725 = 184,725 : x
  2. Step 2: Convert to fraction form
    86,136/184,725 = 184,725/x
  3. Step 3: Cross multiply
    86,136x = 184,725 × 184,725
  4. Step 4: Simplify right side
    86,136x = 34,123,325,625
  5. Step 5: Solve for x
    x = 34,123,325,625/86,136
  6. Step 6: Final answer
    x = 396,156.38

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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.