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Finding the Third Proportional to 54,946 and 118,652

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Solution

The third proportional to 54,946 and 118,652 is: 256,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,946 : 118,652 = 118,652 : x
  2. Step 2: Convert to fraction form
    54,946/118,652 = 118,652/x
  3. Step 3: Cross multiply
    54,946x = 118,652 × 118,652
  4. Step 4: Simplify right side
    54,946x = 14,078,297,104
  5. Step 5: Solve for x
    x = 14,078,297,104/54,946
  6. Step 6: Final answer
    x = 256,220.60

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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.