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Finding the Third Proportional to 54,196 and 115,864

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Solution

The third proportional to 54,196 and 115,864 is: 247,702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,196 : 115,864 = 115,864 : x
  2. Step 2: Convert to fraction form
    54,196/115,864 = 115,864/x
  3. Step 3: Cross multiply
    54,196x = 115,864 × 115,864
  4. Step 4: Simplify right side
    54,196x = 13,424,466,496
  5. Step 5: Solve for x
    x = 13,424,466,496/54,196
  6. Step 6: Final answer
    x = 247,702.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.