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Finding the Third Proportional to 53,696 and 116,615

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Solution

The third proportional to 53,696 and 116,615 is: 253,260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,696 : 116,615 = 116,615 : x
  2. Step 2: Convert to fraction form
    53,696/116,615 = 116,615/x
  3. Step 3: Cross multiply
    53,696x = 116,615 × 116,615
  4. Step 4: Simplify right side
    53,696x = 13,599,058,225
  5. Step 5: Solve for x
    x = 13,599,058,225/53,696
  6. Step 6: Final answer
    x = 253,260.17

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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.