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Finding the Third Proportional to 78,366.75 and 171,756

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Solution

The third proportional to 78,366.75 and 171,756 is: 376,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,366.75 : 171,756 = 171,756 : x
  2. Step 2: Convert to fraction form
    78,366.75/171,756 = 171,756/x
  3. Step 3: Cross multiply
    78,366.75x = 171,756 × 171,756
  4. Step 4: Simplify right side
    78,366.75x = 29,500,123,536
  5. Step 5: Solve for x
    x = 29,500,123,536/78,366.75
  6. Step 6: Final answer
    x = 376,436.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.