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Finding the Third Proportional to 122,227 and 164,473

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Solution

The third proportional to 122,227 and 164,473 is: 221,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,227 : 164,473 = 164,473 : x
  2. Step 2: Convert to fraction form
    122,227/164,473 = 164,473/x
  3. Step 3: Cross multiply
    122,227x = 164,473 × 164,473
  4. Step 4: Simplify right side
    122,227x = 27,051,367,729
  5. Step 5: Solve for x
    x = 27,051,367,729/122,227
  6. Step 6: Final answer
    x = 221,320.72

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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.