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Finding the Third Proportional to 75,343.50 and 116,736

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Solution

The third proportional to 75,343.50 and 116,736 is: 180,868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,343.50 : 116,736 = 116,736 : x
  2. Step 2: Convert to fraction form
    75,343.50/116,736 = 116,736/x
  3. Step 3: Cross multiply
    75,343.50x = 116,736 × 116,736
  4. Step 4: Simplify right side
    75,343.50x = 13,627,293,696
  5. Step 5: Solve for x
    x = 13,627,293,696/75,343.50
  6. Step 6: Final answer
    x = 180,868.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.