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Finding the Third Proportional to 94,589 and 141,897

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Solution

The third proportional to 94,589 and 141,897 is: 212,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,589 : 141,897 = 141,897 : x
  2. Step 2: Convert to fraction form
    94,589/141,897 = 141,897/x
  3. Step 3: Cross multiply
    94,589x = 141,897 × 141,897
  4. Step 4: Simplify right side
    94,589x = 20,134,758,609
  5. Step 5: Solve for x
    x = 20,134,758,609/94,589
  6. Step 6: Final answer
    x = 212,865.75

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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.