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Finding the Third Proportional to 45,825 and 99,102

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Solution

The third proportional to 45,825 and 99,102 is: 214,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,825 : 99,102 = 99,102 : x
  2. Step 2: Convert to fraction form
    45,825/99,102 = 99,102/x
  3. Step 3: Cross multiply
    45,825x = 99,102 × 99,102
  4. Step 4: Simplify right side
    45,825x = 9,821,206,404
  5. Step 5: Solve for x
    x = 9,821,206,404/45,825
  6. Step 6: Final answer
    x = 214,319.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.