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Finding the Third Proportional to 54,246 and 117,132

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Solution

The third proportional to 54,246 and 117,132 is: 252,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,246 : 117,132 = 117,132 : x
  2. Step 2: Convert to fraction form
    54,246/117,132 = 117,132/x
  3. Step 3: Cross multiply
    54,246x = 117,132 × 117,132
  4. Step 4: Simplify right side
    54,246x = 13,719,905,424
  5. Step 5: Solve for x
    x = 13,719,905,424/54,246
  6. Step 6: Final answer
    x = 252,920.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.