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Finding the Third Proportional to 129,049 and 283,005

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Solution

The third proportional to 129,049 and 283,005 is: 620,631.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,049 : 283,005 = 283,005 : x
  2. Step 2: Convert to fraction form
    129,049/283,005 = 283,005/x
  3. Step 3: Cross multiply
    129,049x = 283,005 × 283,005
  4. Step 4: Simplify right side
    129,049x = 80,091,830,025
  5. Step 5: Solve for x
    x = 80,091,830,025/129,049
  6. Step 6: Final answer
    x = 620,631.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.