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Finding the Third Proportional to 75,052.25 and 114,125

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Solution

The third proportional to 75,052.25 and 114,125 is: 173,539.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,052.25 : 114,125 = 114,125 : x
  2. Step 2: Convert to fraction form
    75,052.25/114,125 = 114,125/x
  3. Step 3: Cross multiply
    75,052.25x = 114,125 × 114,125
  4. Step 4: Simplify right side
    75,052.25x = 13,024,515,625
  5. Step 5: Solve for x
    x = 13,024,515,625/75,052.25
  6. Step 6: Final answer
    x = 173,539.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.