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Finding the Third Proportional to 85,586.25 and 131,266.50

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Solution

The third proportional to 85,586.25 and 131,266.50 is: 201,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,586.25 : 131,266.50 = 131,266.50 : x
  2. Step 2: Convert to fraction form
    85,586.25/131,266.50 = 131,266.50/x
  3. Step 3: Cross multiply
    85,586.25x = 131,266.50 × 131,266.50
  4. Step 4: Simplify right side
    85,586.25x = 17,230,894,022.25
  5. Step 5: Solve for x
    x = 17,230,894,022.25/85,586.25
  6. Step 6: Final answer
    x = 201,327.83

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1.5x scale

Why These Related Problems?

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