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Finding the Third Proportional to 105,027.88 and 161,435.44

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Solution

The third proportional to 105,027.88 and 161,435.44 is: 248,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,027.88 : 161,435.44 = 161,435.44 : x
  2. Step 2: Convert to fraction form
    105,027.88/161,435.44 = 161,435.44/x
  3. Step 3: Cross multiply
    105,027.88x = 161,435.44 × 161,435.44
  4. Step 4: Simplify right side
    105,027.88x = 26,061,400,480.82
  5. Step 5: Solve for x
    x = 26,061,400,480.82/105,027.88
  6. Step 6: Final answer
    x = 248,137.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.