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Finding the Third Proportional to 122,394 and 164,736

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Solution

The third proportional to 122,394 and 164,736 is: 221,726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,394 : 164,736 = 164,736 : x
  2. Step 2: Convert to fraction form
    122,394/164,736 = 164,736/x
  3. Step 3: Cross multiply
    122,394x = 164,736 × 164,736
  4. Step 4: Simplify right side
    122,394x = 27,137,949,696
  5. Step 5: Solve for x
    x = 27,137,949,696/122,394
  6. Step 6: Final answer
    x = 221,726.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.