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Finding the Third Proportional to 137,714 and 211,745

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Solution

The third proportional to 137,714 and 211,745 is: 325,572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,714 : 211,745 = 211,745 : x
  2. Step 2: Convert to fraction form
    137,714/211,745 = 211,745/x
  3. Step 3: Cross multiply
    137,714x = 211,745 × 211,745
  4. Step 4: Simplify right side
    137,714x = 44,835,945,025
  5. Step 5: Solve for x
    x = 44,835,945,025/137,714
  6. Step 6: Final answer
    x = 325,572.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.