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Finding the Third Proportional to 94,182 and 142,233

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Solution

The third proportional to 94,182 and 142,233 is: 214,799.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,182 : 142,233 = 142,233 : x
  2. Step 2: Convert to fraction form
    94,182/142,233 = 142,233/x
  3. Step 3: Cross multiply
    94,182x = 142,233 × 142,233
  4. Step 4: Simplify right side
    94,182x = 20,230,226,289
  5. Step 5: Solve for x
    x = 20,230,226,289/94,182
  6. Step 6: Final answer
    x = 214,799.29

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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.