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Finding the Third Proportional to 53,884 and 118,996

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Solution

The third proportional to 53,884 and 118,996 is: 262,787.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,884 : 118,996 = 118,996 : x
  2. Step 2: Convert to fraction form
    53,884/118,996 = 118,996/x
  3. Step 3: Cross multiply
    53,884x = 118,996 × 118,996
  4. Step 4: Simplify right side
    53,884x = 14,160,048,016
  5. Step 5: Solve for x
    x = 14,160,048,016/53,884
  6. Step 6: Final answer
    x = 262,787.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.