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Finding the Third Proportional to 97,647 and 148,110

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Solution

The third proportional to 97,647 and 148,110 is: 224,651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,647 : 148,110 = 148,110 : x
  2. Step 2: Convert to fraction form
    97,647/148,110 = 148,110/x
  3. Step 3: Cross multiply
    97,647x = 148,110 × 148,110
  4. Step 4: Simplify right side
    97,647x = 21,936,572,100
  5. Step 5: Solve for x
    x = 21,936,572,100/97,647
  6. Step 6: Final answer
    x = 224,651.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.