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Finding the Third Proportional to 66,075 and 137,622

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Solution

The third proportional to 66,075 and 137,622 is: 286,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,075 : 137,622 = 137,622 : x
  2. Step 2: Convert to fraction form
    66,075/137,622 = 137,622/x
  3. Step 3: Cross multiply
    66,075x = 137,622 × 137,622
  4. Step 4: Simplify right side
    66,075x = 18,939,814,884
  5. Step 5: Solve for x
    x = 18,939,814,884/66,075
  6. Step 6: Final answer
    x = 286,641.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.