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Finding the Third Proportional to 86,122.50 and 184,701

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Solution

The third proportional to 86,122.50 and 184,701 is: 396,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,122.50 : 184,701 = 184,701 : x
  2. Step 2: Convert to fraction form
    86,122.50/184,701 = 184,701/x
  3. Step 3: Cross multiply
    86,122.50x = 184,701 × 184,701
  4. Step 4: Simplify right side
    86,122.50x = 34,114,459,401
  5. Step 5: Solve for x
    x = 34,114,459,401/86,122.50
  6. Step 6: Final answer
    x = 396,115.53

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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.