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Finding the Third Proportional to 73,446 and 96,993

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Solution

The third proportional to 73,446 and 96,993 is: 128,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,446 : 96,993 = 96,993 : x
  2. Step 2: Convert to fraction form
    73,446/96,993 = 96,993/x
  3. Step 3: Cross multiply
    73,446x = 96,993 × 96,993
  4. Step 4: Simplify right side
    73,446x = 9,407,642,049
  5. Step 5: Solve for x
    x = 9,407,642,049/73,446
  6. Step 6: Final answer
    x = 128,089.24

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.