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Finding the Third Proportional to 105,393.75 and 154,147.13

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Solution

The third proportional to 105,393.75 and 154,147.13 is: 225,452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,393.75 : 154,147.13 = 154,147.13 : x
  2. Step 2: Convert to fraction form
    105,393.75/154,147.13 = 154,147.13/x
  3. Step 3: Cross multiply
    105,393.75x = 154,147.13 × 154,147.13
  4. Step 4: Simplify right side
    105,393.75x = 23,761,336,145.77
  5. Step 5: Solve for x
    x = 23,761,336,145.77/105,393.75
  6. Step 6: Final answer
    x = 225,452.99

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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.