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Finding the Third Proportional to 64,077 and 96,084

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Solution

The third proportional to 64,077 and 96,084 is: 144,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,077 : 96,084 = 96,084 : x
  2. Step 2: Convert to fraction form
    64,077/96,084 = 96,084/x
  3. Step 3: Cross multiply
    64,077x = 96,084 × 96,084
  4. Step 4: Simplify right side
    64,077x = 9,232,135,056
  5. Step 5: Solve for x
    x = 9,232,135,056/64,077
  6. Step 6: Final answer
    x = 144,078.77

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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.