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Finding the Third Proportional to 42,029 and 65,075

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Solution

The third proportional to 42,029 and 65,075 is: 100,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,029 : 65,075 = 65,075 : x
  2. Step 2: Convert to fraction form
    42,029/65,075 = 65,075/x
  3. Step 3: Cross multiply
    42,029x = 65,075 × 65,075
  4. Step 4: Simplify right side
    42,029x = 4,234,755,625
  5. Step 5: Solve for x
    x = 4,234,755,625/42,029
  6. Step 6: Final answer
    x = 100,757.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.