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Finding the Third Proportional to 132,075.75 and 200,639.25

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Solution

The third proportional to 132,075.75 and 200,639.25 is: 304,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,075.75 : 200,639.25 = 200,639.25 : x
  2. Step 2: Convert to fraction form
    132,075.75/200,639.25 = 200,639.25/x
  3. Step 3: Cross multiply
    132,075.75x = 200,639.25 × 200,639.25
  4. Step 4: Simplify right side
    132,075.75x = 40,256,108,640.56
  5. Step 5: Solve for x
    x = 40,256,108,640.56/132,075.75
  6. Step 6: Final answer
    x = 304,795.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.