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Finding the Third Proportional to 35,242 and 76,292

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Solution

The third proportional to 35,242 and 76,292 is: 165,157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,242 : 76,292 = 76,292 : x
  2. Step 2: Convert to fraction form
    35,242/76,292 = 76,292/x
  3. Step 3: Cross multiply
    35,242x = 76,292 × 76,292
  4. Step 4: Simplify right side
    35,242x = 5,820,469,264
  5. Step 5: Solve for x
    x = 5,820,469,264/35,242
  6. Step 6: Final answer
    x = 165,157.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.