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Finding the Third Proportional to 103,452.19 and 158,185.41

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Solution

The third proportional to 103,452.19 and 158,185.41 is: 241,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,452.19 : 158,185.41 = 158,185.41 : x
  2. Step 2: Convert to fraction form
    103,452.19/158,185.41 = 158,185.41/x
  3. Step 3: Cross multiply
    103,452.19x = 158,185.41 × 158,185.41
  4. Step 4: Simplify right side
    103,452.19x = 25,022,622,750.48
  5. Step 5: Solve for x
    x = 25,022,622,750.48/103,452.19
  6. Step 6: Final answer
    x = 241,876.21

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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.