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Finding the Third Proportional to 44,075 and 67,146

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Solution

The third proportional to 44,075 and 67,146 is: 102,293.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,075 : 67,146 = 67,146 : x
  2. Step 2: Convert to fraction form
    44,075/67,146 = 67,146/x
  3. Step 3: Cross multiply
    44,075x = 67,146 × 67,146
  4. Step 4: Simplify right side
    44,075x = 4,508,585,316
  5. Step 5: Solve for x
    x = 4,508,585,316/44,075
  6. Step 6: Final answer
    x = 102,293.48

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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.