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Finding the Third Proportional to 127,842 and 191,682

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Solution

The third proportional to 127,842 and 191,682 is: 287,401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,842 : 191,682 = 191,682 : x
  2. Step 2: Convert to fraction form
    127,842/191,682 = 191,682/x
  3. Step 3: Cross multiply
    127,842x = 191,682 × 191,682
  4. Step 4: Simplify right side
    127,842x = 36,741,989,124
  5. Step 5: Solve for x
    x = 36,741,989,124/127,842
  6. Step 6: Final answer
    x = 287,401.55

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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.