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Finding the Third Proportional to 45,514 and 71,242

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Solution

The third proportional to 45,514 and 71,242 is: 111,513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,514 : 71,242 = 71,242 : x
  2. Step 2: Convert to fraction form
    45,514/71,242 = 71,242/x
  3. Step 3: Cross multiply
    45,514x = 71,242 × 71,242
  4. Step 4: Simplify right side
    45,514x = 5,075,422,564
  5. Step 5: Solve for x
    x = 5,075,422,564/45,514
  6. Step 6: Final answer
    x = 111,513.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.