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Finding the Third Proportional to 109,170 and 140,427

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Solution

The third proportional to 109,170 and 140,427 is: 180,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,170 : 140,427 = 140,427 : x
  2. Step 2: Convert to fraction form
    109,170/140,427 = 140,427/x
  3. Step 3: Cross multiply
    109,170x = 140,427 × 140,427
  4. Step 4: Simplify right side
    109,170x = 19,719,742,329
  5. Step 5: Solve for x
    x = 19,719,742,329/109,170
  6. Step 6: Final answer
    x = 180,633.35

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.