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Finding the Third Proportional to 64,845 and 96,855

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Solution

The third proportional to 64,845 and 96,855 is: 144,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,845 : 96,855 = 96,855 : x
  2. Step 2: Convert to fraction form
    64,845/96,855 = 96,855/x
  3. Step 3: Cross multiply
    64,845x = 96,855 × 96,855
  4. Step 4: Simplify right side
    64,845x = 9,380,891,025
  5. Step 5: Solve for x
    x = 9,380,891,025/64,845
  6. Step 6: Final answer
    x = 144,666.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.