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Finding the Third Proportional to 143,872.50 and 213,018

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Solution

The third proportional to 143,872.50 and 213,018 is: 315,395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,872.50 : 213,018 = 213,018 : x
  2. Step 2: Convert to fraction form
    143,872.50/213,018 = 213,018/x
  3. Step 3: Cross multiply
    143,872.50x = 213,018 × 213,018
  4. Step 4: Simplify right side
    143,872.50x = 45,376,668,324
  5. Step 5: Solve for x
    x = 45,376,668,324/143,872.50
  6. Step 6: Final answer
    x = 315,395.01

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.