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Finding the Third Proportional to 122,664 and 164,850

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Solution

The third proportional to 122,664 and 164,850 is: 221,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,664 : 164,850 = 164,850 : x
  2. Step 2: Convert to fraction form
    122,664/164,850 = 164,850/x
  3. Step 3: Cross multiply
    122,664x = 164,850 × 164,850
  4. Step 4: Simplify right side
    122,664x = 27,175,522,500
  5. Step 5: Solve for x
    x = 27,175,522,500/122,664
  6. Step 6: Final answer
    x = 221,544.40

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.