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Finding the Third Proportional to 95,097.75 and 147,170.25

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Solution

The third proportional to 95,097.75 and 147,170.25 is: 227,755.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,097.75 : 147,170.25 = 147,170.25 : x
  2. Step 2: Convert to fraction form
    95,097.75/147,170.25 = 147,170.25/x
  3. Step 3: Cross multiply
    95,097.75x = 147,170.25 × 147,170.25
  4. Step 4: Simplify right side
    95,097.75x = 21,659,082,485.06
  5. Step 5: Solve for x
    x = 21,659,082,485.06/95,097.75
  6. Step 6: Final answer
    x = 227,755.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.