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Finding the Third Proportional to 43,807 and 95,273

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Solution

The third proportional to 43,807 and 95,273 is: 207,203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,807 : 95,273 = 95,273 : x
  2. Step 2: Convert to fraction form
    43,807/95,273 = 95,273/x
  3. Step 3: Cross multiply
    43,807x = 95,273 × 95,273
  4. Step 4: Simplify right side
    43,807x = 9,076,944,529
  5. Step 5: Solve for x
    x = 9,076,944,529/43,807
  6. Step 6: Final answer
    x = 207,203.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.