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Finding the Third Proportional to 95,886 and 143,757

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Solution

The third proportional to 95,886 and 143,757 is: 215,527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,886 : 143,757 = 143,757 : x
  2. Step 2: Convert to fraction form
    95,886/143,757 = 143,757/x
  3. Step 3: Cross multiply
    95,886x = 143,757 × 143,757
  4. Step 4: Simplify right side
    95,886x = 20,666,075,049
  5. Step 5: Solve for x
    x = 20,666,075,049/95,886
  6. Step 6: Final answer
    x = 215,527.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.