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Finding the Third Proportional to 97,406 and 131,997

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Solution

The third proportional to 97,406 and 131,997 is: 178,872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,406 : 131,997 = 131,997 : x
  2. Step 2: Convert to fraction form
    97,406/131,997 = 131,997/x
  3. Step 3: Cross multiply
    97,406x = 131,997 × 131,997
  4. Step 4: Simplify right side
    97,406x = 17,423,208,009
  5. Step 5: Solve for x
    x = 17,423,208,009/97,406
  6. Step 6: Final answer
    x = 178,872.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.