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Finding the Third Proportional to 86,492.50 and 187,201

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Solution

The third proportional to 86,492.50 and 187,201 is: 405,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,492.50 : 187,201 = 187,201 : x
  2. Step 2: Convert to fraction form
    86,492.50/187,201 = 187,201/x
  3. Step 3: Cross multiply
    86,492.50x = 187,201 × 187,201
  4. Step 4: Simplify right side
    86,492.50x = 35,044,214,401
  5. Step 5: Solve for x
    x = 35,044,214,401/86,492.50
  6. Step 6: Final answer
    x = 405,170.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.