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Finding the Third Proportional to 96,714 and 136,971

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Solution

The third proportional to 96,714 and 136,971 is: 193,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,714 : 136,971 = 136,971 : x
  2. Step 2: Convert to fraction form
    96,714/136,971 = 136,971/x
  3. Step 3: Cross multiply
    96,714x = 136,971 × 136,971
  4. Step 4: Simplify right side
    96,714x = 18,761,054,841
  5. Step 5: Solve for x
    x = 18,761,054,841/96,714
  6. Step 6: Final answer
    x = 193,984.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.