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Finding the Third Proportional to 110,482 and 172,829

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Solution

The third proportional to 110,482 and 172,829 is: 270,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,482 : 172,829 = 172,829 : x
  2. Step 2: Convert to fraction form
    110,482/172,829 = 172,829/x
  3. Step 3: Cross multiply
    110,482x = 172,829 × 172,829
  4. Step 4: Simplify right side
    110,482x = 29,869,863,241
  5. Step 5: Solve for x
    x = 29,869,863,241/110,482
  6. Step 6: Final answer
    x = 270,359.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.