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Finding the Third Proportional to 100,723.50 and 154,244.25

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Solution

The third proportional to 100,723.50 and 154,244.25 is: 236,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,723.50 : 154,244.25 = 154,244.25 : x
  2. Step 2: Convert to fraction form
    100,723.50/154,244.25 = 154,244.25/x
  3. Step 3: Cross multiply
    100,723.50x = 154,244.25 × 154,244.25
  4. Step 4: Simplify right side
    100,723.50x = 23,791,288,658.06
  5. Step 5: Solve for x
    x = 23,791,288,658.06/100,723.50
  6. Step 6: Final answer
    x = 236,203.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.