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Finding the Third Proportional to 85,921 and 131,449.50

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Solution

The third proportional to 85,921 and 131,449.50 is: 201,103.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,921 : 131,449.50 = 131,449.50 : x
  2. Step 2: Convert to fraction form
    85,921/131,449.50 = 131,449.50/x
  3. Step 3: Cross multiply
    85,921x = 131,449.50 × 131,449.50
  4. Step 4: Simplify right side
    85,921x = 17,278,971,050.25
  5. Step 5: Solve for x
    x = 17,278,971,050.25/85,921
  6. Step 6: Final answer
    x = 201,103.00

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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.