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Finding the Third Proportional to 47,025 and 95,265

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Solution

The third proportional to 47,025 and 95,265 is: 192,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,025 : 95,265 = 95,265 : x
  2. Step 2: Convert to fraction form
    47,025/95,265 = 95,265/x
  3. Step 3: Cross multiply
    47,025x = 95,265 × 95,265
  4. Step 4: Simplify right side
    47,025x = 9,075,420,225
  5. Step 5: Solve for x
    x = 9,075,420,225/47,025
  6. Step 6: Final answer
    x = 192,991.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.