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Finding the Third Proportional to 54,736.13 and 117,913.13

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Solution

The third proportional to 54,736.13 and 117,913.13 is: 254,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,736.13 : 117,913.13 = 117,913.13 : x
  2. Step 2: Convert to fraction form
    54,736.13/117,913.13 = 117,913.13/x
  3. Step 3: Cross multiply
    54,736.13x = 117,913.13 × 117,913.13
  4. Step 4: Simplify right side
    54,736.13x = 13,903,505,047.27
  5. Step 5: Solve for x
    x = 13,903,505,047.27/54,736.13
  6. Step 6: Final answer
    x = 254,009.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.