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Finding the Third Proportional to 72,997.88 and 106,626.38

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Solution

The third proportional to 72,997.88 and 106,626.38 is: 155,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,997.88 : 106,626.38 = 106,626.38 : x
  2. Step 2: Convert to fraction form
    72,997.88/106,626.38 = 106,626.38/x
  3. Step 3: Cross multiply
    72,997.88x = 106,626.38 × 106,626.38
  4. Step 4: Simplify right side
    72,997.88x = 11,369,183,845.64
  5. Step 5: Solve for x
    x = 11,369,183,845.64/72,997.88
  6. Step 6: Final answer
    x = 155,746.78

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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.