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Finding the Third Proportional to 78,073.50 and 173,616

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Solution

The third proportional to 78,073.50 and 173,616 is: 386,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,073.50 : 173,616 = 173,616 : x
  2. Step 2: Convert to fraction form
    78,073.50/173,616 = 173,616/x
  3. Step 3: Cross multiply
    78,073.50x = 173,616 × 173,616
  4. Step 4: Simplify right side
    78,073.50x = 30,142,515,456
  5. Step 5: Solve for x
    x = 30,142,515,456/78,073.50
  6. Step 6: Final answer
    x = 386,078.70

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.