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Finding the Third Proportional to 106,482 and 164,853

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Solution

The third proportional to 106,482 and 164,853 is: 255,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,482 : 164,853 = 164,853 : x
  2. Step 2: Convert to fraction form
    106,482/164,853 = 164,853/x
  3. Step 3: Cross multiply
    106,482x = 164,853 × 164,853
  4. Step 4: Simplify right side
    106,482x = 27,176,511,609
  5. Step 5: Solve for x
    x = 27,176,511,609/106,482
  6. Step 6: Final answer
    x = 255,221.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.