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Finding the Third Proportional to 116,552 and 164,512

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Solution

The third proportional to 116,552 and 164,512 is: 232,207.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,552 : 164,512 = 164,512 : x
  2. Step 2: Convert to fraction form
    116,552/164,512 = 164,512/x
  3. Step 3: Cross multiply
    116,552x = 164,512 × 164,512
  4. Step 4: Simplify right side
    116,552x = 27,064,198,144
  5. Step 5: Solve for x
    x = 27,064,198,144/116,552
  6. Step 6: Final answer
    x = 232,207.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.