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Finding the Third Proportional to 65,744 and 96,296

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Solution

The third proportional to 65,744 and 96,296 is: 141,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,744 : 96,296 = 96,296 : x
  2. Step 2: Convert to fraction form
    65,744/96,296 = 96,296/x
  3. Step 3: Cross multiply
    65,744x = 96,296 × 96,296
  4. Step 4: Simplify right side
    65,744x = 9,272,919,616
  5. Step 5: Solve for x
    x = 9,272,919,616/65,744
  6. Step 6: Final answer
    x = 141,045.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.