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Finding the Third Proportional to 72,880 and 95,694

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Solution

The third proportional to 72,880 and 95,694 is: 125,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,880 : 95,694 = 95,694 : x
  2. Step 2: Convert to fraction form
    72,880/95,694 = 95,694/x
  3. Step 3: Cross multiply
    72,880x = 95,694 × 95,694
  4. Step 4: Simplify right side
    72,880x = 9,157,341,636
  5. Step 5: Solve for x
    x = 9,157,341,636/72,880
  6. Step 6: Final answer
    x = 125,649.58

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.