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Finding the Third Proportional to 106,970 and 164,435

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Solution

The third proportional to 106,970 and 164,435 is: 252,770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,970 : 164,435 = 164,435 : x
  2. Step 2: Convert to fraction form
    106,970/164,435 = 164,435/x
  3. Step 3: Cross multiply
    106,970x = 164,435 × 164,435
  4. Step 4: Simplify right side
    106,970x = 27,038,869,225
  5. Step 5: Solve for x
    x = 27,038,869,225/106,970
  6. Step 6: Final answer
    x = 252,770.58

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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.