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Finding the Third Proportional to 96,208 and 140,588

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Solution

The third proportional to 96,208 and 140,588 is: 205,440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,208 : 140,588 = 140,588 : x
  2. Step 2: Convert to fraction form
    96,208/140,588 = 140,588/x
  3. Step 3: Cross multiply
    96,208x = 140,588 × 140,588
  4. Step 4: Simplify right side
    96,208x = 19,764,985,744
  5. Step 5: Solve for x
    x = 19,764,985,744/96,208
  6. Step 6: Final answer
    x = 205,440.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.