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Finding the Third Proportional to 73,075 and 159,272

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Solution

The third proportional to 73,075 and 159,272 is: 347,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,075 : 159,272 = 159,272 : x
  2. Step 2: Convert to fraction form
    73,075/159,272 = 159,272/x
  3. Step 3: Cross multiply
    73,075x = 159,272 × 159,272
  4. Step 4: Simplify right side
    73,075x = 25,367,569,984
  5. Step 5: Solve for x
    x = 25,367,569,984/73,075
  6. Step 6: Final answer
    x = 347,144.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.