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Finding the Third Proportional to 124,723.50 and 190,198.50

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Solution

The third proportional to 124,723.50 and 190,198.50 is: 290,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,723.50 : 190,198.50 = 190,198.50 : x
  2. Step 2: Convert to fraction form
    124,723.50/190,198.50 = 190,198.50/x
  3. Step 3: Cross multiply
    124,723.50x = 190,198.50 × 190,198.50
  4. Step 4: Simplify right side
    124,723.50x = 36,175,469,402.25
  5. Step 5: Solve for x
    x = 36,175,469,402.25/124,723.50
  6. Step 6: Final answer
    x = 290,045.34

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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.