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Finding the Third Proportional to 103,323.94 and 158,046.19

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Solution

The third proportional to 103,323.94 and 158,046.19 is: 241,750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,323.94 : 158,046.19 = 158,046.19 : x
  2. Step 2: Convert to fraction form
    103,323.94/158,046.19 = 158,046.19/x
  3. Step 3: Cross multiply
    103,323.94x = 158,046.19 × 158,046.19
  4. Step 4: Simplify right side
    103,323.94x = 24,978,597,383.29
  5. Step 5: Solve for x
    x = 24,978,597,383.29/103,323.94
  6. Step 6: Final answer
    x = 241,750.34

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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.