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Finding the Third Proportional to 43,714 and 93,800

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Solution

The third proportional to 43,714 and 93,800 is: 201,272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,714 : 93,800 = 93,800 : x
  2. Step 2: Convert to fraction form
    43,714/93,800 = 93,800/x
  3. Step 3: Cross multiply
    43,714x = 93,800 × 93,800
  4. Step 4: Simplify right side
    43,714x = 8,798,440,000
  5. Step 5: Solve for x
    x = 8,798,440,000/43,714
  6. Step 6: Final answer
    x = 201,272.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.