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Finding the Third Proportional to 96,908 and 142,171

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Solution

The third proportional to 96,908 and 142,171 is: 208,575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,908 : 142,171 = 142,171 : x
  2. Step 2: Convert to fraction form
    96,908/142,171 = 142,171/x
  3. Step 3: Cross multiply
    96,908x = 142,171 × 142,171
  4. Step 4: Simplify right side
    96,908x = 20,212,593,241
  5. Step 5: Solve for x
    x = 20,212,593,241/96,908
  6. Step 6: Final answer
    x = 208,575.07

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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.