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Finding the Third Proportional to 54,938 and 118,636

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Solution

The third proportional to 54,938 and 118,636 is: 256,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,938 : 118,636 = 118,636 : x
  2. Step 2: Convert to fraction form
    54,938/118,636 = 118,636/x
  3. Step 3: Cross multiply
    54,938x = 118,636 × 118,636
  4. Step 4: Simplify right side
    54,938x = 14,074,500,496
  5. Step 5: Solve for x
    x = 14,074,500,496/54,938
  6. Step 6: Final answer
    x = 256,188.80

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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.