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Finding the Third Proportional to 129,334.50 and 201,861

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Solution

The third proportional to 129,334.50 and 201,861 is: 315,057.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,334.50 : 201,861 = 201,861 : x
  2. Step 2: Convert to fraction form
    129,334.50/201,861 = 201,861/x
  3. Step 3: Cross multiply
    129,334.50x = 201,861 × 201,861
  4. Step 4: Simplify right side
    129,334.50x = 40,747,863,321
  5. Step 5: Solve for x
    x = 40,747,863,321/129,334.50
  6. Step 6: Final answer
    x = 315,057.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.