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Finding the Third Proportional to 136,714 and 214,031

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Solution

The third proportional to 136,714 and 214,031 is: 335,073.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,714 : 214,031 = 214,031 : x
  2. Step 2: Convert to fraction form
    136,714/214,031 = 214,031/x
  3. Step 3: Cross multiply
    136,714x = 214,031 × 214,031
  4. Step 4: Simplify right side
    136,714x = 45,809,268,961
  5. Step 5: Solve for x
    x = 45,809,268,961/136,714
  6. Step 6: Final answer
    x = 335,073.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.