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Finding the Third Proportional to 74,075 and 162,973

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Solution

The third proportional to 74,075 and 162,973 is: 358,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,075 : 162,973 = 162,973 : x
  2. Step 2: Convert to fraction form
    74,075/162,973 = 162,973/x
  3. Step 3: Cross multiply
    74,075x = 162,973 × 162,973
  4. Step 4: Simplify right side
    74,075x = 26,560,198,729
  5. Step 5: Solve for x
    x = 26,560,198,729/74,075
  6. Step 6: Final answer
    x = 358,558.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.