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Finding the Third Proportional to 72,448 and 96,676

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Solution

The third proportional to 72,448 and 96,676 is: 129,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,448 : 96,676 = 96,676 : x
  2. Step 2: Convert to fraction form
    72,448/96,676 = 96,676/x
  3. Step 3: Cross multiply
    72,448x = 96,676 × 96,676
  4. Step 4: Simplify right side
    72,448x = 9,346,248,976
  5. Step 5: Solve for x
    x = 9,346,248,976/72,448
  6. Step 6: Final answer
    x = 129,006.31

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.