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Finding the Third Proportional to 94,241 and 141,564

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Solution

The third proportional to 94,241 and 141,564 is: 212,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,241 : 141,564 = 141,564 : x
  2. Step 2: Convert to fraction form
    94,241/141,564 = 141,564/x
  3. Step 3: Cross multiply
    94,241x = 141,564 × 141,564
  4. Step 4: Simplify right side
    94,241x = 20,040,366,096
  5. Step 5: Solve for x
    x = 20,040,366,096/94,241
  6. Step 6: Final answer
    x = 212,650.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.