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Finding the Third Proportional to 71,563.50 and 162,225

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Solution

The third proportional to 71,563.50 and 162,225 is: 367,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,563.50 : 162,225 = 162,225 : x
  2. Step 2: Convert to fraction form
    71,563.50/162,225 = 162,225/x
  3. Step 3: Cross multiply
    71,563.50x = 162,225 × 162,225
  4. Step 4: Simplify right side
    71,563.50x = 26,316,950,625
  5. Step 5: Solve for x
    x = 26,316,950,625/71,563.50
  6. Step 6: Final answer
    x = 367,742.64

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.