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Finding the Third Proportional to 122,272 and 164,554

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Solution

The third proportional to 122,272 and 164,554 is: 221,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,272 : 164,554 = 164,554 : x
  2. Step 2: Convert to fraction form
    122,272/164,554 = 164,554/x
  3. Step 3: Cross multiply
    122,272x = 164,554 × 164,554
  4. Step 4: Simplify right side
    122,272x = 27,078,018,916
  5. Step 5: Solve for x
    x = 27,078,018,916/122,272
  6. Step 6: Final answer
    x = 221,457.23

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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.