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Finding the Third Proportional to 96,512 and 139,231

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Solution

The third proportional to 96,512 and 139,231 is: 200,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,512 : 139,231 = 139,231 : x
  2. Step 2: Convert to fraction form
    96,512/139,231 = 139,231/x
  3. Step 3: Cross multiply
    96,512x = 139,231 × 139,231
  4. Step 4: Simplify right side
    96,512x = 19,385,271,361
  5. Step 5: Solve for x
    x = 19,385,271,361/96,512
  6. Step 6: Final answer
    x = 200,858.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.