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Finding the Third Proportional to 75,103.50 and 116,949

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Solution

The third proportional to 75,103.50 and 116,949 is: 182,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,103.50 : 116,949 = 116,949 : x
  2. Step 2: Convert to fraction form
    75,103.50/116,949 = 116,949/x
  3. Step 3: Cross multiply
    75,103.50x = 116,949 × 116,949
  4. Step 4: Simplify right side
    75,103.50x = 13,677,068,601
  5. Step 5: Solve for x
    x = 13,677,068,601/75,103.50
  6. Step 6: Final answer
    x = 182,109.60

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.