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Finding the Third Proportional to 122,614 and 164,773

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Solution

The third proportional to 122,614 and 164,773 is: 221,427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,614 : 164,773 = 164,773 : x
  2. Step 2: Convert to fraction form
    122,614/164,773 = 164,773/x
  3. Step 3: Cross multiply
    122,614x = 164,773 × 164,773
  4. Step 4: Simplify right side
    122,614x = 27,150,141,529
  5. Step 5: Solve for x
    x = 27,150,141,529/122,614
  6. Step 6: Final answer
    x = 221,427.75

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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.