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Finding the Third Proportional to 110,768 and 171,800

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Solution

The third proportional to 110,768 and 171,800 is: 266,459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,768 : 171,800 = 171,800 : x
  2. Step 2: Convert to fraction form
    110,768/171,800 = 171,800/x
  3. Step 3: Cross multiply
    110,768x = 171,800 × 171,800
  4. Step 4: Simplify right side
    110,768x = 29,515,240,000
  5. Step 5: Solve for x
    x = 29,515,240,000/110,768
  6. Step 6: Final answer
    x = 266,459.99

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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.