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Finding the Third Proportional to 64,635 and 96,561

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Solution

The third proportional to 64,635 and 96,561 is: 144,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,635 : 96,561 = 96,561 : x
  2. Step 2: Convert to fraction form
    64,635/96,561 = 96,561/x
  3. Step 3: Cross multiply
    64,635x = 96,561 × 96,561
  4. Step 4: Simplify right side
    64,635x = 9,324,026,721
  5. Step 5: Solve for x
    x = 9,324,026,721/64,635
  6. Step 6: Final answer
    x = 144,256.62

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Why These Related Problems?

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