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Finding the Third Proportional to 35,203 and 76,423

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Solution

The third proportional to 35,203 and 76,423 is: 165,908.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,203 : 76,423 = 76,423 : x
  2. Step 2: Convert to fraction form
    35,203/76,423 = 76,423/x
  3. Step 3: Cross multiply
    35,203x = 76,423 × 76,423
  4. Step 4: Simplify right side
    35,203x = 5,840,474,929
  5. Step 5: Solve for x
    x = 5,840,474,929/35,203
  6. Step 6: Final answer
    x = 165,908.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.