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Finding the Third Proportional to 85,608.38 and 133,075.38

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Solution

The third proportional to 85,608.38 and 133,075.38 is: 206,861.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,608.38 : 133,075.38 = 133,075.38 : x
  2. Step 2: Convert to fraction form
    85,608.38/133,075.38 = 133,075.38/x
  3. Step 3: Cross multiply
    85,608.38x = 133,075.38 × 133,075.38
  4. Step 4: Simplify right side
    85,608.38x = 17,709,055,431.39
  5. Step 5: Solve for x
    x = 17,709,055,431.39/85,608.38
  6. Step 6: Final answer
    x = 206,861.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.