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Finding the Third Proportional to 75,576 and 156,048

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Solution

The third proportional to 75,576 and 156,048 is: 322,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,576 : 156,048 = 156,048 : x
  2. Step 2: Convert to fraction form
    75,576/156,048 = 156,048/x
  3. Step 3: Cross multiply
    75,576x = 156,048 × 156,048
  4. Step 4: Simplify right side
    75,576x = 24,350,978,304
  5. Step 5: Solve for x
    x = 24,350,978,304/75,576
  6. Step 6: Final answer
    x = 322,205.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.