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Finding the Third Proportional to 52,357.50 and 116,325

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Solution

The third proportional to 52,357.50 and 116,325 is: 258,444.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,357.50 : 116,325 = 116,325 : x
  2. Step 2: Convert to fraction form
    52,357.50/116,325 = 116,325/x
  3. Step 3: Cross multiply
    52,357.50x = 116,325 × 116,325
  4. Step 4: Simplify right side
    52,357.50x = 13,531,505,625
  5. Step 5: Solve for x
    x = 13,531,505,625/52,357.50
  6. Step 6: Final answer
    x = 258,444.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.