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Finding the Third Proportional to 106,964 and 164,424

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Solution

The third proportional to 106,964 and 164,424 is: 252,750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,964 : 164,424 = 164,424 : x
  2. Step 2: Convert to fraction form
    106,964/164,424 = 164,424/x
  3. Step 3: Cross multiply
    106,964x = 164,424 × 164,424
  4. Step 4: Simplify right side
    106,964x = 27,035,251,776
  5. Step 5: Solve for x
    x = 27,035,251,776/106,964
  6. Step 6: Final answer
    x = 252,750.94

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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.