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Finding the Third Proportional to 128,099.25 and 275,152.50

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Solution

The third proportional to 128,099.25 and 275,152.50 is: 591,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,099.25 : 275,152.50 = 275,152.50 : x
  2. Step 2: Convert to fraction form
    128,099.25/275,152.50 = 275,152.50/x
  3. Step 3: Cross multiply
    128,099.25x = 275,152.50 × 275,152.50
  4. Step 4: Simplify right side
    128,099.25x = 75,708,898,256.25
  5. Step 5: Solve for x
    x = 75,708,898,256.25/128,099.25
  6. Step 6: Final answer
    x = 591,017.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.