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Finding the Third Proportional to 53,781 and 116,889

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Solution

The third proportional to 53,781 and 116,889 is: 254,049.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,781 : 116,889 = 116,889 : x
  2. Step 2: Convert to fraction form
    53,781/116,889 = 116,889/x
  3. Step 3: Cross multiply
    53,781x = 116,889 × 116,889
  4. Step 4: Simplify right side
    53,781x = 13,663,038,321
  5. Step 5: Solve for x
    x = 13,663,038,321/53,781
  6. Step 6: Final answer
    x = 254,049.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.