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Finding the Third Proportional to 71,273 and 153,075

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Solution

The third proportional to 71,273 and 153,075 is: 328,763.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,273 : 153,075 = 153,075 : x
  2. Step 2: Convert to fraction form
    71,273/153,075 = 153,075/x
  3. Step 3: Cross multiply
    71,273x = 153,075 × 153,075
  4. Step 4: Simplify right side
    71,273x = 23,431,955,625
  5. Step 5: Solve for x
    x = 23,431,955,625/71,273
  6. Step 6: Final answer
    x = 328,763.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.