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Finding the Third Proportional to 110,014 and 171,596

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Solution

The third proportional to 110,014 and 171,596 is: 267,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,014 : 171,596 = 171,596 : x
  2. Step 2: Convert to fraction form
    110,014/171,596 = 171,596/x
  3. Step 3: Cross multiply
    110,014x = 171,596 × 171,596
  4. Step 4: Simplify right side
    110,014x = 29,445,187,216
  5. Step 5: Solve for x
    x = 29,445,187,216/110,014
  6. Step 6: Final answer
    x = 267,649.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.