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Finding the Third Proportional to 129,589.88 and 202,849.75

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Solution

The third proportional to 129,589.88 and 202,849.75 is: 317,524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,589.88 : 202,849.75 = 202,849.75 : x
  2. Step 2: Convert to fraction form
    129,589.88/202,849.75 = 202,849.75/x
  3. Step 3: Cross multiply
    129,589.88x = 202,849.75 × 202,849.75
  4. Step 4: Simplify right side
    129,589.88x = 41,148,021,075.06
  5. Step 5: Solve for x
    x = 41,148,021,075.06/129,589.88
  6. Step 6: Final answer
    x = 317,524.97

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.