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Finding the Third Proportional to 97,605 and 146,022.75

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Solution

The third proportional to 97,605 and 146,022.75 is: 218,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,605 : 146,022.75 = 146,022.75 : x
  2. Step 2: Convert to fraction form
    97,605/146,022.75 = 146,022.75/x
  3. Step 3: Cross multiply
    97,605x = 146,022.75 × 146,022.75
  4. Step 4: Simplify right side
    97,605x = 21,322,643,517.56
  5. Step 5: Solve for x
    x = 21,322,643,517.56/97,605
  6. Step 6: Final answer
    x = 218,458.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.