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Finding the Third Proportional to 53,616 and 112,696

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Solution

The third proportional to 53,616 and 112,696 is: 236,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,616 : 112,696 = 112,696 : x
  2. Step 2: Convert to fraction form
    53,616/112,696 = 112,696/x
  3. Step 3: Cross multiply
    53,616x = 112,696 × 112,696
  4. Step 4: Simplify right side
    53,616x = 12,700,388,416
  5. Step 5: Solve for x
    x = 12,700,388,416/53,616
  6. Step 6: Final answer
    x = 236,876.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.