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Finding the Third Proportional to 43,742 and 95,503

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Solution

The third proportional to 43,742 and 95,503 is: 208,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,742 : 95,503 = 95,503 : x
  2. Step 2: Convert to fraction form
    43,742/95,503 = 95,503/x
  3. Step 3: Cross multiply
    43,742x = 95,503 × 95,503
  4. Step 4: Simplify right side
    43,742x = 9,120,823,009
  5. Step 5: Solve for x
    x = 9,120,823,009/43,742
  6. Step 6: Final answer
    x = 208,514.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.