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Finding the Third Proportional to 105,556 and 163,234

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Solution

The third proportional to 105,556 and 163,234 is: 252,428.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,556 : 163,234 = 163,234 : x
  2. Step 2: Convert to fraction form
    105,556/163,234 = 163,234/x
  3. Step 3: Cross multiply
    105,556x = 163,234 × 163,234
  4. Step 4: Simplify right side
    105,556x = 26,645,338,756
  5. Step 5: Solve for x
    x = 26,645,338,756/105,556
  6. Step 6: Final answer
    x = 252,428.46

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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.