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Finding the Third Proportional to 75,614 and 176,614

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Solution

The third proportional to 75,614 and 176,614 is: 412,522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,614 : 176,614 = 176,614 : x
  2. Step 2: Convert to fraction form
    75,614/176,614 = 176,614/x
  3. Step 3: Cross multiply
    75,614x = 176,614 × 176,614
  4. Step 4: Simplify right side
    75,614x = 31,192,504,996
  5. Step 5: Solve for x
    x = 31,192,504,996/75,614
  6. Step 6: Final answer
    x = 412,522.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.