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Finding the Third Proportional to 92,744 and 140,427

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Solution

The third proportional to 92,744 and 140,427 is: 212,625.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,744 : 140,427 = 140,427 : x
  2. Step 2: Convert to fraction form
    92,744/140,427 = 140,427/x
  3. Step 3: Cross multiply
    92,744x = 140,427 × 140,427
  4. Step 4: Simplify right side
    92,744x = 19,719,742,329
  5. Step 5: Solve for x
    x = 19,719,742,329/92,744
  6. Step 6: Final answer
    x = 212,625.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.