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Finding the Third Proportional to 53,242 and 82,425

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Solution

The third proportional to 53,242 and 82,425 is: 127,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,242 : 82,425 = 82,425 : x
  2. Step 2: Convert to fraction form
    53,242/82,425 = 82,425/x
  3. Step 3: Cross multiply
    53,242x = 82,425 × 82,425
  4. Step 4: Simplify right side
    53,242x = 6,793,880,625
  5. Step 5: Solve for x
    x = 6,793,880,625/53,242
  6. Step 6: Final answer
    x = 127,603.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.