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Finding the Third Proportional to 61,522.50 and 132,201

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Solution

The third proportional to 61,522.50 and 132,201 is: 284,076.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,522.50 : 132,201 = 132,201 : x
  2. Step 2: Convert to fraction form
    61,522.50/132,201 = 132,201/x
  3. Step 3: Cross multiply
    61,522.50x = 132,201 × 132,201
  4. Step 4: Simplify right side
    61,522.50x = 17,477,104,401
  5. Step 5: Solve for x
    x = 17,477,104,401/61,522.50
  6. Step 6: Final answer
    x = 284,076.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.