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Finding the Third Proportional to 116,817 and 183,012

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Solution

The third proportional to 116,817 and 183,012 is: 286,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,817 : 183,012 = 183,012 : x
  2. Step 2: Convert to fraction form
    116,817/183,012 = 183,012/x
  3. Step 3: Cross multiply
    116,817x = 183,012 × 183,012
  4. Step 4: Simplify right side
    116,817x = 33,493,392,144
  5. Step 5: Solve for x
    x = 33,493,392,144/116,817
  6. Step 6: Final answer
    x = 286,716.76

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.