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Finding the Third Proportional to 54,246 and 117,513

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Solution

The third proportional to 54,246 and 117,513 is: 254,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,246 : 117,513 = 117,513 : x
  2. Step 2: Convert to fraction form
    54,246/117,513 = 117,513/x
  3. Step 3: Cross multiply
    54,246x = 117,513 × 117,513
  4. Step 4: Simplify right side
    54,246x = 13,809,305,169
  5. Step 5: Solve for x
    x = 13,809,305,169/54,246
  6. Step 6: Final answer
    x = 254,568.17

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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.