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Finding the Third Proportional to 94,842 and 203,742

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Solution

The third proportional to 94,842 and 203,742 is: 437,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,842 : 203,742 = 203,742 : x
  2. Step 2: Convert to fraction form
    94,842/203,742 = 203,742/x
  3. Step 3: Cross multiply
    94,842x = 203,742 × 203,742
  4. Step 4: Simplify right side
    94,842x = 41,510,802,564
  5. Step 5: Solve for x
    x = 41,510,802,564/94,842
  6. Step 6: Final answer
    x = 437,683.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.