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Finding the Third Proportional to 100,714 and 141,174

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Solution

The third proportional to 100,714 and 141,174 is: 197,888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,714 : 141,174 = 141,174 : x
  2. Step 2: Convert to fraction form
    100,714/141,174 = 141,174/x
  3. Step 3: Cross multiply
    100,714x = 141,174 × 141,174
  4. Step 4: Simplify right side
    100,714x = 19,930,098,276
  5. Step 5: Solve for x
    x = 19,930,098,276/100,714
  6. Step 6: Final answer
    x = 197,888.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.