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Finding the Third Proportional to 54,918 and 117,247.50

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Solution

The third proportional to 54,918 and 117,247.50 is: 250,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,918 : 117,247.50 = 117,247.50 : x
  2. Step 2: Convert to fraction form
    54,918/117,247.50 = 117,247.50/x
  3. Step 3: Cross multiply
    54,918x = 117,247.50 × 117,247.50
  4. Step 4: Simplify right side
    54,918x = 13,746,976,256.25
  5. Step 5: Solve for x
    x = 13,746,976,256.25/54,918
  6. Step 6: Final answer
    x = 250,318.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.