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Finding the Third Proportional to 52,080.50 and 111,542

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Solution

The third proportional to 52,080.50 and 111,542 is: 238,892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,080.50 : 111,542 = 111,542 : x
  2. Step 2: Convert to fraction form
    52,080.50/111,542 = 111,542/x
  3. Step 3: Cross multiply
    52,080.50x = 111,542 × 111,542
  4. Step 4: Simplify right side
    52,080.50x = 12,441,617,764
  5. Step 5: Solve for x
    x = 12,441,617,764/52,080.50
  6. Step 6: Final answer
    x = 238,892.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.