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Finding the Third Proportional to 52,716.50 and 111,546

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Solution

The third proportional to 52,716.50 and 111,546 is: 236,026.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,716.50 : 111,546 = 111,546 : x
  2. Step 2: Convert to fraction form
    52,716.50/111,546 = 111,546/x
  3. Step 3: Cross multiply
    52,716.50x = 111,546 × 111,546
  4. Step 4: Simplify right side
    52,716.50x = 12,442,510,116
  5. Step 5: Solve for x
    x = 12,442,510,116/52,716.50
  6. Step 6: Final answer
    x = 236,026.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.