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Finding the Third Proportional to 72,701 and 148,075

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Solution

The third proportional to 72,701 and 148,075 is: 301,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,701 : 148,075 = 148,075 : x
  2. Step 2: Convert to fraction form
    72,701/148,075 = 148,075/x
  3. Step 3: Cross multiply
    72,701x = 148,075 × 148,075
  4. Step 4: Simplify right side
    72,701x = 21,926,205,625
  5. Step 5: Solve for x
    x = 21,926,205,625/72,701
  6. Step 6: Final answer
    x = 301,594.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.