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Finding the Third Proportional to 84,825 and 127,242

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Solution

The third proportional to 84,825 and 127,242 is: 190,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,825 : 127,242 = 127,242 : x
  2. Step 2: Convert to fraction form
    84,825/127,242 = 127,242/x
  3. Step 3: Cross multiply
    84,825x = 127,242 × 127,242
  4. Step 4: Simplify right side
    84,825x = 16,190,526,564
  5. Step 5: Solve for x
    x = 16,190,526,564/84,825
  6. Step 6: Final answer
    x = 190,869.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.