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Finding the Third Proportional to 54,706 and 117,781

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Solution

The third proportional to 54,706 and 117,781 is: 253,580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,706 : 117,781 = 117,781 : x
  2. Step 2: Convert to fraction form
    54,706/117,781 = 117,781/x
  3. Step 3: Cross multiply
    54,706x = 117,781 × 117,781
  4. Step 4: Simplify right side
    54,706x = 13,872,363,961
  5. Step 5: Solve for x
    x = 13,872,363,961/54,706
  6. Step 6: Final answer
    x = 253,580.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.