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Finding the Third Proportional to 118,228.50 and 140,098.50

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Solution

The third proportional to 118,228.50 and 140,098.50 is: 166,014.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,228.50 : 140,098.50 = 140,098.50 : x
  2. Step 2: Convert to fraction form
    118,228.50/140,098.50 = 140,098.50/x
  3. Step 3: Cross multiply
    118,228.50x = 140,098.50 × 140,098.50
  4. Step 4: Simplify right side
    118,228.50x = 19,627,589,702.25
  5. Step 5: Solve for x
    x = 19,627,589,702.25/118,228.50
  6. Step 6: Final answer
    x = 166,014.03

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.