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Finding the Third Proportional to 129,500 and 200,002

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Solution

The third proportional to 129,500 and 200,002 is: 308,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,500 : 200,002 = 200,002 : x
  2. Step 2: Convert to fraction form
    129,500/200,002 = 200,002/x
  3. Step 3: Cross multiply
    129,500x = 200,002 × 200,002
  4. Step 4: Simplify right side
    129,500x = 40,000,800,004
  5. Step 5: Solve for x
    x = 40,000,800,004/129,500
  6. Step 6: Final answer
    x = 308,886.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.