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Finding the Third Proportional to 106,964 and 164,425

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Solution

The third proportional to 106,964 and 164,425 is: 252,754.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,964 : 164,425 = 164,425 : x
  2. Step 2: Convert to fraction form
    106,964/164,425 = 164,425/x
  3. Step 3: Cross multiply
    106,964x = 164,425 × 164,425
  4. Step 4: Simplify right side
    106,964x = 27,035,580,625
  5. Step 5: Solve for x
    x = 27,035,580,625/106,964
  6. Step 6: Final answer
    x = 252,754.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.