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Finding the Third Proportional to 57,953 and 126,967

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Solution

The third proportional to 57,953 and 126,967 is: 278,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,953 : 126,967 = 126,967 : x
  2. Step 2: Convert to fraction form
    57,953/126,967 = 126,967/x
  3. Step 3: Cross multiply
    57,953x = 126,967 × 126,967
  4. Step 4: Simplify right side
    57,953x = 16,120,619,089
  5. Step 5: Solve for x
    x = 16,120,619,089/57,953
  6. Step 6: Final answer
    x = 278,167.12

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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.