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Finding the Third Proportional to 105,403.50 and 154,161.50

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Solution

The third proportional to 105,403.50 and 154,161.50 is: 225,474.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,403.50 : 154,161.50 = 154,161.50 : x
  2. Step 2: Convert to fraction form
    105,403.50/154,161.50 = 154,161.50/x
  3. Step 3: Cross multiply
    105,403.50x = 154,161.50 × 154,161.50
  4. Step 4: Simplify right side
    105,403.50x = 23,765,768,082.25
  5. Step 5: Solve for x
    x = 23,765,768,082.25/105,403.50
  6. Step 6: Final answer
    x = 225,474.18

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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.