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Finding the Third Proportional to 63,077 and 94,881

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Solution

The third proportional to 63,077 and 94,881 is: 142,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,077 : 94,881 = 94,881 : x
  2. Step 2: Convert to fraction form
    63,077/94,881 = 94,881/x
  3. Step 3: Cross multiply
    63,077x = 94,881 × 94,881
  4. Step 4: Simplify right side
    63,077x = 9,002,404,161
  5. Step 5: Solve for x
    x = 9,002,404,161/63,077
  6. Step 6: Final answer
    x = 142,720.87

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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.