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Finding the Third Proportional to 70,250 and 107,714

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Solution

The third proportional to 70,250 and 107,714 is: 165,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,250 : 107,714 = 107,714 : x
  2. Step 2: Convert to fraction form
    70,250/107,714 = 107,714/x
  3. Step 3: Cross multiply
    70,250x = 107,714 × 107,714
  4. Step 4: Simplify right side
    70,250x = 11,602,305,796
  5. Step 5: Solve for x
    x = 11,602,305,796/70,250
  6. Step 6: Final answer
    x = 165,157.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.