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Finding the Third Proportional to 65,446 and 96,079

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Solution

The third proportional to 65,446 and 96,079 is: 141,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,446 : 96,079 = 96,079 : x
  2. Step 2: Convert to fraction form
    65,446/96,079 = 96,079/x
  3. Step 3: Cross multiply
    65,446x = 96,079 × 96,079
  4. Step 4: Simplify right side
    65,446x = 9,231,174,241
  5. Step 5: Solve for x
    x = 9,231,174,241/65,446
  6. Step 6: Final answer
    x = 141,050.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.