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Finding the Third Proportional to 80,280.50 and 125,018

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Solution

The third proportional to 80,280.50 and 125,018 is: 194,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,280.50 : 125,018 = 125,018 : x
  2. Step 2: Convert to fraction form
    80,280.50/125,018 = 125,018/x
  3. Step 3: Cross multiply
    80,280.50x = 125,018 × 125,018
  4. Step 4: Simplify right side
    80,280.50x = 15,629,500,324
  5. Step 5: Solve for x
    x = 15,629,500,324/80,280.50
  6. Step 6: Final answer
    x = 194,686.14

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.