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Finding the Third Proportional to 49,714 and 75,295

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Solution

The third proportional to 49,714 and 75,295 is: 114,039.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,714 : 75,295 = 75,295 : x
  2. Step 2: Convert to fraction form
    49,714/75,295 = 75,295/x
  3. Step 3: Cross multiply
    49,714x = 75,295 × 75,295
  4. Step 4: Simplify right side
    49,714x = 5,669,337,025
  5. Step 5: Solve for x
    x = 5,669,337,025/49,714
  6. Step 6: Final answer
    x = 114,039.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.