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Finding the Third Proportional to 110,622 and 171,576

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Solution

The third proportional to 110,622 and 171,576 is: 266,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,622 : 171,576 = 171,576 : x
  2. Step 2: Convert to fraction form
    110,622/171,576 = 171,576/x
  3. Step 3: Cross multiply
    110,622x = 171,576 × 171,576
  4. Step 4: Simplify right side
    110,622x = 29,438,323,776
  5. Step 5: Solve for x
    x = 29,438,323,776/110,622
  6. Step 6: Final answer
    x = 266,116.36

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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.