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Finding the Third Proportional to 53,816 and 117,460

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Solution

The third proportional to 53,816 and 117,460 is: 256,370.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,816 : 117,460 = 117,460 : x
  2. Step 2: Convert to fraction form
    53,816/117,460 = 117,460/x
  3. Step 3: Cross multiply
    53,816x = 117,460 × 117,460
  4. Step 4: Simplify right side
    53,816x = 13,796,851,600
  5. Step 5: Solve for x
    x = 13,796,851,600/53,816
  6. Step 6: Final answer
    x = 256,370.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.