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Finding the Third Proportional to 98,493 and 144,245.63

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Solution

The third proportional to 98,493 and 144,245.63 is: 211,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,493 : 144,245.63 = 144,245.63 : x
  2. Step 2: Convert to fraction form
    98,493/144,245.63 = 144,245.63/x
  3. Step 3: Cross multiply
    98,493x = 144,245.63 × 144,245.63
  4. Step 4: Simplify right side
    98,493x = 20,806,800,331.64
  5. Step 5: Solve for x
    x = 20,806,800,331.64/98,493
  6. Step 6: Final answer
    x = 211,251.56

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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.