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Finding the Third Proportional to 75,741 and 159,315

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Solution

The third proportional to 75,741 and 159,315 is: 335,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,741 : 159,315 = 159,315 : x
  2. Step 2: Convert to fraction form
    75,741/159,315 = 159,315/x
  3. Step 3: Cross multiply
    75,741x = 159,315 × 159,315
  4. Step 4: Simplify right side
    75,741x = 25,381,269,225
  5. Step 5: Solve for x
    x = 25,381,269,225/75,741
  6. Step 6: Final answer
    x = 335,106.07

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.