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Finding the Third Proportional to 85,914 and 131,435

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Solution

The third proportional to 85,914 and 131,435 is: 201,075.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,914 : 131,435 = 131,435 : x
  2. Step 2: Convert to fraction form
    85,914/131,435 = 131,435/x
  3. Step 3: Cross multiply
    85,914x = 131,435 × 131,435
  4. Step 4: Simplify right side
    85,914x = 17,275,159,225
  5. Step 5: Solve for x
    x = 17,275,159,225/85,914
  6. Step 6: Final answer
    x = 201,075.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.