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Finding the Third Proportional to 53,714 and 117,796

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Solution

The third proportional to 53,714 and 117,796 is: 258,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,714 : 117,796 = 117,796 : x
  2. Step 2: Convert to fraction form
    53,714/117,796 = 117,796/x
  3. Step 3: Cross multiply
    53,714x = 117,796 × 117,796
  4. Step 4: Simplify right side
    53,714x = 13,875,897,616
  5. Step 5: Solve for x
    x = 13,875,897,616/53,714
  6. Step 6: Final answer
    x = 258,329.26

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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.