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Finding the Third Proportional to 40,687.50 and 88,138.50

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Solution

The third proportional to 40,687.50 and 88,138.50 is: 190,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,687.50 : 88,138.50 = 88,138.50 : x
  2. Step 2: Convert to fraction form
    40,687.50/88,138.50 = 88,138.50/x
  3. Step 3: Cross multiply
    40,687.50x = 88,138.50 × 88,138.50
  4. Step 4: Simplify right side
    40,687.50x = 7,768,395,182.25
  5. Step 5: Solve for x
    x = 7,768,395,182.25/40,687.50
  6. Step 6: Final answer
    x = 190,928.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.