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Finding the Third Proportional to 53,914 and 117,617

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Solution

The third proportional to 53,914 and 117,617 is: 256,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,914 : 117,617 = 117,617 : x
  2. Step 2: Convert to fraction form
    53,914/117,617 = 117,617/x
  3. Step 3: Cross multiply
    53,914x = 117,617 × 117,617
  4. Step 4: Simplify right side
    53,914x = 13,833,758,689
  5. Step 5: Solve for x
    x = 13,833,758,689/53,914
  6. Step 6: Final answer
    x = 256,589.36

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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.