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Finding the Third Proportional to 96,857 and 142,125

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Solution

The third proportional to 96,857 and 142,125 is: 208,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,857 : 142,125 = 142,125 : x
  2. Step 2: Convert to fraction form
    96,857/142,125 = 142,125/x
  3. Step 3: Cross multiply
    96,857x = 142,125 × 142,125
  4. Step 4: Simplify right side
    96,857x = 20,199,515,625
  5. Step 5: Solve for x
    x = 20,199,515,625/96,857
  6. Step 6: Final answer
    x = 208,549.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.