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Finding the Third Proportional to 26,968.25 and 59,120.50

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Solution

The third proportional to 26,968.25 and 59,120.50 is: 129,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,968.25 : 59,120.50 = 59,120.50 : x
  2. Step 2: Convert to fraction form
    26,968.25/59,120.50 = 59,120.50/x
  3. Step 3: Cross multiply
    26,968.25x = 59,120.50 × 59,120.50
  4. Step 4: Simplify right side
    26,968.25x = 3,495,233,520.25
  5. Step 5: Solve for x
    x = 3,495,233,520.25/26,968.25
  6. Step 6: Final answer
    x = 129,605.50

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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.