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Finding the Third Proportional to 53,881 and 117,793

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Solution

The third proportional to 53,881 and 117,793 is: 257,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,881 : 117,793 = 117,793 : x
  2. Step 2: Convert to fraction form
    53,881/117,793 = 117,793/x
  3. Step 3: Cross multiply
    53,881x = 117,793 × 117,793
  4. Step 4: Simplify right side
    53,881x = 13,875,190,849
  5. Step 5: Solve for x
    x = 13,875,190,849/53,881
  6. Step 6: Final answer
    x = 257,515.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.