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Finding the Third Proportional to 64,021 and 96,916

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Solution

The third proportional to 64,021 and 96,916 is: 146,712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,021 : 96,916 = 96,916 : x
  2. Step 2: Convert to fraction form
    64,021/96,916 = 96,916/x
  3. Step 3: Cross multiply
    64,021x = 96,916 × 96,916
  4. Step 4: Simplify right side
    64,021x = 9,392,711,056
  5. Step 5: Solve for x
    x = 9,392,711,056/64,021
  6. Step 6: Final answer
    x = 146,712.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.