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Finding the Third Proportional to 64,083 and 96,093

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Solution

The third proportional to 64,083 and 96,093 is: 144,092.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,083 : 96,093 = 96,093 : x
  2. Step 2: Convert to fraction form
    64,083/96,093 = 96,093/x
  3. Step 3: Cross multiply
    64,083x = 96,093 × 96,093
  4. Step 4: Simplify right side
    64,083x = 9,233,864,649
  5. Step 5: Solve for x
    x = 9,233,864,649/64,083
  6. Step 6: Final answer
    x = 144,092.27

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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.