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Finding the Third Proportional to 44,340 and 95,714

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Solution

The third proportional to 44,340 and 95,714 is: 206,611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,340 : 95,714 = 95,714 : x
  2. Step 2: Convert to fraction form
    44,340/95,714 = 95,714/x
  3. Step 3: Cross multiply
    44,340x = 95,714 × 95,714
  4. Step 4: Simplify right side
    44,340x = 9,161,169,796
  5. Step 5: Solve for x
    x = 9,161,169,796/44,340
  6. Step 6: Final answer
    x = 206,611.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.