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Finding the Third Proportional to 55,649.25 and 131,233.25

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Solution

The third proportional to 55,649.25 and 131,233.25 is: 309,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,649.25 : 131,233.25 = 131,233.25 : x
  2. Step 2: Convert to fraction form
    55,649.25/131,233.25 = 131,233.25/x
  3. Step 3: Cross multiply
    55,649.25x = 131,233.25 × 131,233.25
  4. Step 4: Simplify right side
    55,649.25x = 17,222,165,905.56
  5. Step 5: Solve for x
    x = 17,222,165,905.56/55,649.25
  6. Step 6: Final answer
    x = 309,477.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.