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Finding the Third Proportional to 57,531.50 and 119,057

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Solution

The third proportional to 57,531.50 and 119,057 is: 246,379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,531.50 : 119,057 = 119,057 : x
  2. Step 2: Convert to fraction form
    57,531.50/119,057 = 119,057/x
  3. Step 3: Cross multiply
    57,531.50x = 119,057 × 119,057
  4. Step 4: Simplify right side
    57,531.50x = 14,174,569,249
  5. Step 5: Solve for x
    x = 14,174,569,249/57,531.50
  6. Step 6: Final answer
    x = 246,379.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.