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Finding the Third Proportional to 42,252 and 59,075

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Solution

The third proportional to 42,252 and 59,075 is: 82,596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,252 : 59,075 = 59,075 : x
  2. Step 2: Convert to fraction form
    42,252/59,075 = 59,075/x
  3. Step 3: Cross multiply
    42,252x = 59,075 × 59,075
  4. Step 4: Simplify right side
    42,252x = 3,489,855,625
  5. Step 5: Solve for x
    x = 3,489,855,625/42,252
  6. Step 6: Final answer
    x = 82,596.22

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.