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Finding the Third Proportional to 54,102 and 117,336

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Solution

The third proportional to 54,102 and 117,336 is: 254,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,102 : 117,336 = 117,336 : x
  2. Step 2: Convert to fraction form
    54,102/117,336 = 117,336/x
  3. Step 3: Cross multiply
    54,102x = 117,336 × 117,336
  4. Step 4: Simplify right side
    54,102x = 13,767,736,896
  5. Step 5: Solve for x
    x = 13,767,736,896/54,102
  6. Step 6: Final answer
    x = 254,477.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.