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Finding the Third Proportional to 49,866.75 and 117,334.13

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Solution

The third proportional to 49,866.75 and 117,334.13 is: 276,081.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,866.75 : 117,334.13 = 117,334.13 : x
  2. Step 2: Convert to fraction form
    49,866.75/117,334.13 = 117,334.13/x
  3. Step 3: Cross multiply
    49,866.75x = 117,334.13 × 117,334.13
  4. Step 4: Simplify right side
    49,866.75x = 13,767,296,889.52
  5. Step 5: Solve for x
    x = 13,767,296,889.52/49,866.75
  6. Step 6: Final answer
    x = 276,081.70

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.