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Finding the Third Proportional to 95,562 and 223,153

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Solution

The third proportional to 95,562 and 223,153 is: 521,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,562 : 223,153 = 223,153 : x
  2. Step 2: Convert to fraction form
    95,562/223,153 = 223,153/x
  3. Step 3: Cross multiply
    95,562x = 223,153 × 223,153
  4. Step 4: Simplify right side
    95,562x = 49,797,261,409
  5. Step 5: Solve for x
    x = 49,797,261,409/95,562
  6. Step 6: Final answer
    x = 521,098.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.