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Finding the Third Proportional to 110,726 and 171,647

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Solution

The third proportional to 110,726 and 171,647 is: 266,086.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,726 : 171,647 = 171,647 : x
  2. Step 2: Convert to fraction form
    110,726/171,647 = 171,647/x
  3. Step 3: Cross multiply
    110,726x = 171,647 × 171,647
  4. Step 4: Simplify right side
    110,726x = 29,462,692,609
  5. Step 5: Solve for x
    x = 29,462,692,609/110,726
  6. Step 6: Final answer
    x = 266,086.49

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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.