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Finding the Third Proportional to 60,821 and 96,853

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Solution

The third proportional to 60,821 and 96,853 is: 154,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,821 : 96,853 = 96,853 : x
  2. Step 2: Convert to fraction form
    60,821/96,853 = 96,853/x
  3. Step 3: Cross multiply
    60,821x = 96,853 × 96,853
  4. Step 4: Simplify right side
    60,821x = 9,380,503,609
  5. Step 5: Solve for x
    x = 9,380,503,609/60,821
  6. Step 6: Final answer
    x = 154,231.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.