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Finding the Third Proportional to 85,737 and 188,075

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Solution

The third proportional to 85,737 and 188,075 is: 412,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,737 : 188,075 = 188,075 : x
  2. Step 2: Convert to fraction form
    85,737/188,075 = 188,075/x
  3. Step 3: Cross multiply
    85,737x = 188,075 × 188,075
  4. Step 4: Simplify right side
    85,737x = 35,372,205,625
  5. Step 5: Solve for x
    x = 35,372,205,625/85,737
  6. Step 6: Final answer
    x = 412,566.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.