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Finding the Third Proportional to 85,608.25 and 133,075.19

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Solution

The third proportional to 85,608.25 and 133,075.19 is: 206,860.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,608.25 : 133,075.19 = 133,075.19 : x
  2. Step 2: Convert to fraction form
    85,608.25/133,075.19 = 133,075.19/x
  3. Step 3: Cross multiply
    85,608.25x = 133,075.19 × 133,075.19
  4. Step 4: Simplify right side
    85,608.25x = 17,709,005,528.16
  5. Step 5: Solve for x
    x = 17,709,005,528.16/85,608.25
  6. Step 6: Final answer
    x = 206,860.97

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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.