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Finding the Third Proportional to 96,664 and 147,885

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Solution

The third proportional to 96,664 and 147,885 is: 226,247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,664 : 147,885 = 147,885 : x
  2. Step 2: Convert to fraction form
    96,664/147,885 = 147,885/x
  3. Step 3: Cross multiply
    96,664x = 147,885 × 147,885
  4. Step 4: Simplify right side
    96,664x = 21,869,973,225
  5. Step 5: Solve for x
    x = 21,869,973,225/96,664
  6. Step 6: Final answer
    x = 226,247.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.