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Finding the Third Proportional to 44,142 and 67,233

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Solution

The third proportional to 44,142 and 67,233 is: 102,403.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,142 : 67,233 = 67,233 : x
  2. Step 2: Convert to fraction form
    44,142/67,233 = 67,233/x
  3. Step 3: Cross multiply
    44,142x = 67,233 × 67,233
  4. Step 4: Simplify right side
    44,142x = 4,520,276,289
  5. Step 5: Solve for x
    x = 4,520,276,289/44,142
  6. Step 6: Final answer
    x = 102,403.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.