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Finding the Third Proportional to 86,714 and 126,948

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Solution

The third proportional to 86,714 and 126,948 is: 185,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,714 : 126,948 = 126,948 : x
  2. Step 2: Convert to fraction form
    86,714/126,948 = 126,948/x
  3. Step 3: Cross multiply
    86,714x = 126,948 × 126,948
  4. Step 4: Simplify right side
    86,714x = 16,115,794,704
  5. Step 5: Solve for x
    x = 16,115,794,704/86,714
  6. Step 6: Final answer
    x = 185,849.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.