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Finding the Third Proportional to 49,619.25 and 117,037.13

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Solution

The third proportional to 49,619.25 and 117,037.13 is: 276,055.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,619.25 : 117,037.13 = 117,037.13 : x
  2. Step 2: Convert to fraction form
    49,619.25/117,037.13 = 117,037.13/x
  3. Step 3: Cross multiply
    49,619.25x = 117,037.13 × 117,037.13
  4. Step 4: Simplify right side
    49,619.25x = 13,697,688,628.27
  5. Step 5: Solve for x
    x = 13,697,688,628.27/49,619.25
  6. Step 6: Final answer
    x = 276,055.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.