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Finding the Third Proportional to 54,084 and 118,132

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Solution

The third proportional to 54,084 and 118,132 is: 258,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,084 : 118,132 = 118,132 : x
  2. Step 2: Convert to fraction form
    54,084/118,132 = 118,132/x
  3. Step 3: Cross multiply
    54,084x = 118,132 × 118,132
  4. Step 4: Simplify right side
    54,084x = 13,955,169,424
  5. Step 5: Solve for x
    x = 13,955,169,424/54,084
  6. Step 6: Final answer
    x = 258,027.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.