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Finding the Third Proportional to 75,934.50 and 116,199

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Solution

The third proportional to 75,934.50 and 116,199 is: 177,813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,934.50 : 116,199 = 116,199 : x
  2. Step 2: Convert to fraction form
    75,934.50/116,199 = 116,199/x
  3. Step 3: Cross multiply
    75,934.50x = 116,199 × 116,199
  4. Step 4: Simplify right side
    75,934.50x = 13,502,207,601
  5. Step 5: Solve for x
    x = 13,502,207,601/75,934.50
  6. Step 6: Final answer
    x = 177,813.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.