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Finding the Third Proportional to 59,037.75 and 127,404.75

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Solution

The third proportional to 59,037.75 and 127,404.75 is: 274,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,037.75 : 127,404.75 = 127,404.75 : x
  2. Step 2: Convert to fraction form
    59,037.75/127,404.75 = 127,404.75/x
  3. Step 3: Cross multiply
    59,037.75x = 127,404.75 × 127,404.75
  4. Step 4: Simplify right side
    59,037.75x = 16,231,970,322.56
  5. Step 5: Solve for x
    x = 16,231,970,322.56/59,037.75
  6. Step 6: Final answer
    x = 274,942.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.