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Finding the Third Proportional to 46,692 and 67,120.50

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Solution

The third proportional to 46,692 and 67,120.50 is: 96,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,692 : 67,120.50 = 67,120.50 : x
  2. Step 2: Convert to fraction form
    46,692/67,120.50 = 67,120.50/x
  3. Step 3: Cross multiply
    46,692x = 67,120.50 × 67,120.50
  4. Step 4: Simplify right side
    46,692x = 4,505,161,520.25
  5. Step 5: Solve for x
    x = 4,505,161,520.25/46,692
  6. Step 6: Final answer
    x = 96,486.80

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.